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Igor Konnov

Personal Details

First Name:Igor
Middle Name:
Last Name:Konnov
Suffix:
RePEc Short-ID:pko584
http://old.kpfu.ru/eng/persons/9116.en.html

Affiliation

Казанский (Приволжский) федеральный университет (Kazan Federal University)

http://kpfu.ru/?p_sub=16
Russia, Kazan

Research output

as
Jump to: Working papers Articles Chapters Books

Working papers

  1. Igor Konnov, 2020. "Variational Inequality Type Formulations of General Market Equilibrium Problems with Local Information," Papers 2006.01178, arXiv.org, revised Jun 2020.
  2. Konnov, I.V. & Schaible, S., 1999. "Duality for Equilibrium Problems under General Monotonicity," The A. Gary Anderson Graduate School of Management 99-02, The A. Gary Anderson Graduate School of Management. University of California Riverside.
  3. Konnov, I.V. & Schaible, S., 1998. "Duality for Equilibrium Problems," The A. Gary Anderson Graduate School of Management 98-05, The A. Gary Anderson Graduate School of Management. University of California Riverside.

Articles

  1. Igor Konnov, 2021. "Variational Inequality Type Formulations of General Market Equilibrium Problems with Local Information," Journal of Optimization Theory and Applications, Springer, vol. 188(2), pages 332-355, February.
  2. I. V. Konnov, 2021. "A general class of relative optimization problems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 93(3), pages 501-520, June.
  3. Igor Konnov, 2020. "A Non-monotone Conjugate Subgradient Type Method for Minimization of Convex Functions," Journal of Optimization Theory and Applications, Springer, vol. 184(2), pages 534-546, February.
  4. I. V. Konnov, 2019. "Equilibrium formulations of relative optimization problems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 90(1), pages 137-152, August.
  5. M. Bianchi & I. V. Konnov & R. Pini, 2018. "Limit vector variational inequality problems via scalarization," Journal of Global Optimization, Springer, vol. 72(3), pages 579-590, November.
  6. E. Allevi & A. Gnudi & I. V. Konnov & G. Oggioni, 2018. "Decomposition method for oligopolistic competitive models with common environmental regulation," Annals of Operations Research, Springer, vol. 268(1), pages 441-467, September.
  7. E. Allevi & A. Gnudi & I. V. Konnov & G. Oggioni, 2018. "Evaluating the effects of environmental regulations on a closed-loop supply chain network: a variational inequality approach," Annals of Operations Research, Springer, vol. 261(1), pages 1-43, February.
  8. Igor Konnov, 2017. "An Adaptive Partial Linearization Method for Optimization Problems on Product Sets," Journal of Optimization Theory and Applications, Springer, vol. 175(2), pages 478-501, November.
  9. Elisabetta Allevi & Adriana Gnudi & Igor V. Konnov & Giorgia Oggioni, 2017. "Dynamic Spatial Auction Market Models with General Cost Mappings," Networks and Spatial Economics, Springer, vol. 17(2), pages 367-403, June.
  10. I. V. Konnov, 2016. "Selective bi-coordinate variations for resource allocation type problems," Computational Optimization and Applications, Springer, vol. 64(3), pages 821-842, July.
  11. I. Konnov, 2015. "On auction equilibrium models with network applications," Netnomics, Springer, vol. 16(1), pages 107-125, August.
  12. I. V. Konnov, 2015. "Regularized Penalty Method for General Equilibrium Problems in Banach Spaces," Journal of Optimization Theory and Applications, Springer, vol. 164(2), pages 500-513, February.
  13. I. Konnov, 2014. "On penalty methods for non monotone equilibrium problems," Journal of Global Optimization, Springer, vol. 59(1), pages 131-138, May.
  14. I. V. Konnov, 2014. "Right-Hand Side Decomposition for Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 160(1), pages 221-238, January.
  15. I. Konnov, 2013. "Vector network equilibrium problems with elastic demands," Journal of Global Optimization, Springer, vol. 57(2), pages 521-531, October.
  16. E. Allevi & A. Gnudi & I. Konnov & S. Schaible, 2012. "Gauss–Seidel method for multi-valued inclusions with Z mappings," Journal of Global Optimization, Springer, vol. 53(1), pages 97-105, May.
  17. I. Konnov & D. Dyabilkin, 2011. "Nonmonotone equilibrium problems: coercivity conditions and weak regularization," Journal of Global Optimization, Springer, vol. 49(4), pages 575-587, April.
  18. M. Bianchi & I. Konnov & R. Pini, 2010. "Lexicographic and sequential equilibrium problems," Journal of Global Optimization, Springer, vol. 46(4), pages 551-560, April.
  19. Igor Konnov, 2009. "Decomposition Approaches for Constrained Spatial Auction Market Problems," Networks and Spatial Economics, Springer, vol. 9(4), pages 505-524, December.
  20. E. Allevi & A. Gnudi & I. Konnov & S. Schaible, 2007. "Characterizations of relatively generalized monotone maps," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 65(2), pages 293-303, April.
  21. E. Allevi & A. Gnudi & I. Konnov, 2006. "The Proximal Point Method for Nonmonotone Variational Inequalities," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 63(3), pages 553-565, July.
  22. I. V. Konnov & S. Schaible & J. C. Yao, 2005. "Combined Relaxation Method for Mixed Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 126(2), pages 309-322, August.
  23. Igor V. Konnov, 2004. "Dual approach for a class of implicit convex optimization problems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 60(1), pages 87-99, September.
  24. E. Allevi & A. Gnudi & I.V. Konnov, 2004. "Generalized Vector Variational Inequalities over Countable Product of Sets," Journal of Global Optimization, Springer, vol. 30(2), pages 155-167, November.
  25. I.V. Konnov, 2003. "Application of the Proximal Point Method to Nonmonotone Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 119(2), pages 317-333, November.
  26. E. Allevi & A. Gnudi & I.V. Konnov & S. Schaible, 2003. "Noncooperative Games with Vector Payoffs Under Relative Pseudomonotonicity," Journal of Optimization Theory and Applications, Springer, vol. 118(2), pages 245-254, August.
  27. I.V. Konnov, 2003. "On Lexicographic Vector Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 118(3), pages 681-688, September.
  28. I. V. Konnov & E. O. Volotskaya, 2002. "Mixed variational inequalities and economic equilibrium problems," Journal of Applied Mathematics, Hindawi, vol. 2, pages 1-26, January.
  29. Q.H. Ansari & I.V. Konnov & J.C. Yao, 2002. "Characterizations of Solutions for Vector Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 113(3), pages 435-447, June.
  30. I. V. Konnov & Sangho Kum & Gue Myung Lee, 2002. "On convergence of descent methods for variational inequalities in a Hilbert space," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 55(3), pages 371-382, June.
  31. Allevi, E., Gnudi, A. & Konnov, I.V., 2001. "Combined relaxation method with Frank-Wolfe type auxiliary procedures for variational inequalities over product sets," Pure Mathematics and Applications, Department of Mathematics, Corvinus University of Budapest, vol. 12(1), pages 1-9.
  32. I. V. Konnov, 2001. "Combined Relaxation Method for Monotone Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 111(2), pages 327-340, November.
  33. Q. H. Ansari & I. V. Konnov & J. C. Yao, 2001. "Existence of a Solution and Variational Principles for Vector Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 110(3), pages 481-492, September.
  34. I. V. Konnov & S. Schaible, 2000. "Duality for Equilibrium Problems under Generalized Monotonicity," Journal of Optimization Theory and Applications, Springer, vol. 104(2), pages 395-408, February.
  35. I. V. Konnov, 1998. "On Quasimonotone Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 99(1), pages 165-181, October.
  36. I. V. Konnov, 1997. "A Class of Combined Iterative Methods for Solving Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 94(3), pages 677-693, September.

Chapters

  1. Igor V. Konnov, 2007. "Combined Relaxation Methods for Generalized Monotone Variational Inequalities," Lecture Notes in Economics and Mathematical Systems, in: Generalized Convexity and Related Topics, pages 3-31, Springer.
  2. Elisabetta Allevi & Adriana Gnudi & Igor V. Konnov, 2007. "Partitionable Variational Inequalities with Multi-valued Mappings," Lecture Notes in Economics and Mathematical Systems, in: Generalized Convexity and Related Topics, pages 91-100, Springer.
  3. Igor V. Konnov, 2006. "Application of the Proximal Point Method to a System of Extended Primal-Dual Equilibrium Problems," Lecture Notes in Economics and Mathematical Systems, in: Alberto Seeger (ed.), Recent Advances in Optimization, pages 87-102, Springer.

Books

  1. Igor V. Konnov & Dinh The Luc & Alexander M. Rubinov, 2006. "Generalized Convexity and Related Topics," Lecture Notes in Economics and Mathematical Systems, Springer, number 978-3-540-37007-9, December.

Citations

Many of the citations below have been collected in an experimental project, CitEc, where a more detailed citation analysis can be found. These are citations from works listed in RePEc that could be analyzed mechanically. So far, only a minority of all works could be analyzed. See under "Corrections" how you can help improve the citation analysis.

Working papers

  1. Konnov, I.V. & Schaible, S., 1998. "Duality for Equilibrium Problems," The A. Gary Anderson Graduate School of Management 98-05, The A. Gary Anderson Graduate School of Management. University of California Riverside.

    Cited by:

    1. E. Allevi & A. Gnudi & I.V. Konnov & S. Schaible, 2003. "Noncooperative Games with Vector Payoffs Under Relative Pseudomonotonicity," Journal of Optimization Theory and Applications, Springer, vol. 118(2), pages 245-254, August.
    2. I.V. Konnov, 2003. "Application of the Proximal Point Method to Nonmonotone Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 119(2), pages 317-333, November.
    3. L.J. Lin & Q.H. Ansari & J.Y. Wu, 2003. "Geometric Properties and Coincidence Theorems with Applications to Generalized Vector Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 117(1), pages 121-137, April.
    4. M. Fakhar & J. Zafarani, 2004. "Generalized Equilibrium Problems for Quasimonotone and Pseudomonotone Bifunctions," Journal of Optimization Theory and Applications, Springer, vol. 123(2), pages 349-364, November.

Articles

  1. Igor Konnov, 2020. "A Non-monotone Conjugate Subgradient Type Method for Minimization of Convex Functions," Journal of Optimization Theory and Applications, Springer, vol. 184(2), pages 534-546, February.

    Cited by:

    1. Elena Tovbis & Vladimir Krutikov & Predrag Stanimirović & Vladimir Meshechkin & Aleksey Popov & Lev Kazakovtsev, 2023. "A Family of Multi-Step Subgradient Minimization Methods," Mathematics, MDPI, vol. 11(10), pages 1-24, May.

  2. I. V. Konnov, 2019. "Equilibrium formulations of relative optimization problems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 90(1), pages 137-152, August.

    Cited by:

    1. Igor Konnov, 2021. "Variational Inequality Type Formulations of General Market Equilibrium Problems with Local Information," Journal of Optimization Theory and Applications, Springer, vol. 188(2), pages 332-355, February.
    2. M. Bianchi & G. Kassay & R. Pini, 2022. "Brezis pseudomonotone bifunctions and quasi equilibrium problems via penalization," Journal of Global Optimization, Springer, vol. 82(3), pages 483-498, March.
    3. Lam Quoc Anh & Tran Quoc Duy & Le Dung Muu & Truong Van Tri, 2021. "The Tikhonov regularization for vector equilibrium problems," Computational Optimization and Applications, Springer, vol. 78(3), pages 769-792, April.
    4. I. V. Konnov, 2021. "A general class of relative optimization problems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 93(3), pages 501-520, June.

  3. E. Allevi & A. Gnudi & I. V. Konnov & G. Oggioni, 2018. "Decomposition method for oligopolistic competitive models with common environmental regulation," Annals of Operations Research, Springer, vol. 268(1), pages 441-467, September.

    Cited by:

    1. Anjos, Miguel F. & Feijoo, Felipe & Sankaranarayanan, Sriram, 2022. "A multinational carbon-credit market integrating distinct national carbon allowance strategies," Applied Energy, Elsevier, vol. 319(C).

  4. E. Allevi & A. Gnudi & I. V. Konnov & G. Oggioni, 2018. "Evaluating the effects of environmental regulations on a closed-loop supply chain network: a variational inequality approach," Annals of Operations Research, Springer, vol. 261(1), pages 1-43, February.

    Cited by:

    1. Hongtao Ren & Wenji Zhou & Marek Makowski & Hongbin Yan & Yadong Yu & Tieju Ma, 2021. "Incorporation of life cycle emissions and carbon price uncertainty into the supply chain network management of PVC production," Annals of Operations Research, Springer, vol. 300(2), pages 601-620, May.
    2. Juntao Wang & Wenhua Li & Nozomu Mishima, 2023. "Optimal Decisions of Electric Vehicle Closed-Loop Supply Chain under Government Subsidy and Varied Consumers’ Green Awareness," Sustainability, MDPI, vol. 15(15), pages 1-18, August.
    3. Caiquan Duan & Guoyi Xiu & Fengmin Yao, 2019. "Multi-Period E-Closed-Loop Supply Chain Network Considering Consumers’ Preference for Products and AI-Push," Sustainability, MDPI, vol. 11(17), pages 1-32, August.
    4. Peng Wu & Yixi Yin & Shiying Li & Yulong Huang, 2018. "Low-Carbon Supply Chain Management Considering Free Emission Allowance and Abatement Cost Sharing," Sustainability, MDPI, vol. 10(7), pages 1-18, June.
    5. Chenhao Fang & Tieju Ma, 2021. "Technology adoption with carbon emission trading mechanism: modeling with heterogeneous agents and uncertain carbon price," Annals of Operations Research, Springer, vol. 300(2), pages 577-600, May.
    6. Hao Guo & Ying Zhang & Chunnan Zhang & Yu Liu & Yuan Zhou, 2020. "Location-inventory decisions for closed-loop supply chain management in the presence of the secondary market," Annals of Operations Research, Springer, vol. 291(1), pages 361-386, August.
    7. Monica Milasi & Domenico Scopelliti, 2021. "A Variational Approach to the Maximization of Preferences Without Numerical Representation," Journal of Optimization Theory and Applications, Springer, vol. 190(3), pages 879-893, September.
    8. Zhou, Yongyi & Zhang, Yulin & Wahab, M.I.M. & Goh, Mark, 2023. "Channel leadership and performance for a closed-loop supply chain considering competition," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 175(C).
    9. Noura Yassine, 2020. "A sustainable economic production model: effects of quality and emissions tax from transportation," Annals of Operations Research, Springer, vol. 290(1), pages 73-94, July.
    10. Sadia Samar Ali & Rajbir Kaur & Shahbaz Khan, 2023. "Evaluating sustainability initiatives in warehouse for measuring sustainability performance: an emerging economy perspective," Annals of Operations Research, Springer, vol. 324(1), pages 461-500, May.
    11. Guitao Zhang & Xiao Zhang & Hao Sun & Xinyu Zhao, 2021. "Three-Echelon Closed-Loop Supply Chain Network Equilibrium under Cap-and-Trade Regulation," Sustainability, MDPI, vol. 13(11), pages 1-26, June.
    12. Sadia Samar Ali & Rajbir Kaur & D. Jinil Persis & Raiswa Saha & Murugan Pattusamy & V. Raja Sreedharan, 2023. "Developing a hybrid evaluation approach for the low carbon performance on sustainable manufacturing environment," Annals of Operations Research, Springer, vol. 324(1), pages 249-281, May.
    13. Shen, Jiayu, 2020. "An environmental supply chain network under uncertainty," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 542(C).
    14. Mahmud Akhter Shareef & Yogesh K. Dwivedi & Rafeed Mahmud & Angela Wright & Mohammad Mahboob Rahman & Hatice Kizgin & Nripendra P. Rana, 2019. "Disaster management in Bangladesh: developing an effective emergency supply chain network," Annals of Operations Research, Springer, vol. 283(1), pages 1463-1487, December.
    15. Peiyue Cheng & Guitao Zhang & Hao Sun, 2022. "The Sustainable Supply Chain Network Competition Based on Non-Cooperative Equilibrium under Carbon Emission Permits," Mathematics, MDPI, vol. 10(9), pages 1-31, April.
    16. Caiquan Duan & Fengmin Yao & Zhongqiu Li & Hui Yu, 2022. "Multi‐period closed‐loop supply chain network equilibrium considering CSR investment and sharing mechanism," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 43(5), pages 1579-1595, July.

  5. Elisabetta Allevi & Adriana Gnudi & Igor V. Konnov & Giorgia Oggioni, 2017. "Dynamic Spatial Auction Market Models with General Cost Mappings," Networks and Spatial Economics, Springer, vol. 17(2), pages 367-403, June.

    Cited by:

    1. Igor Konnov, 2021. "Variational Inequality Type Formulations of General Market Equilibrium Problems with Local Information," Journal of Optimization Theory and Applications, Springer, vol. 188(2), pages 332-355, February.
    2. E. Allevi & A. Gnudi & I. V. Konnov & G. Oggioni, 2022. "Dynamic Spatial Equilibrium Models: an Application to the Natural Gas Spot Markets," Networks and Spatial Economics, Springer, vol. 22(2), pages 205-241, June.
    3. Hmaed Najafi Alamdarlo & Fariba Riyahi & Mohamad Hasan Vakilpoor, 2019. "Wheat Self-Sufficiency, Water Restriction and Virtual Water Trade in Iran," Networks and Spatial Economics, Springer, vol. 19(2), pages 503-520, June.

  6. I. V. Konnov, 2016. "Selective bi-coordinate variations for resource allocation type problems," Computational Optimization and Applications, Springer, vol. 64(3), pages 821-842, July.

    Cited by:

    1. Igor Konnov, 2021. "Variational Inequality Type Formulations of General Market Equilibrium Problems with Local Information," Journal of Optimization Theory and Applications, Springer, vol. 188(2), pages 332-355, February.
    2. Andrea Cristofari, 2019. "An almost cyclic 2-coordinate descent method for singly linearly constrained problems," Computational Optimization and Applications, Springer, vol. 73(2), pages 411-452, June.

  7. I. V. Konnov, 2015. "Regularized Penalty Method for General Equilibrium Problems in Banach Spaces," Journal of Optimization Theory and Applications, Springer, vol. 164(2), pages 500-513, February.

    Cited by:

    1. I. V. Konnov, 2019. "Equilibrium formulations of relative optimization problems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 90(1), pages 137-152, August.
    2. M. Bianchi & G. Kassay & R. Pini, 2022. "Brezis pseudomonotone bifunctions and quasi equilibrium problems via penalization," Journal of Global Optimization, Springer, vol. 82(3), pages 483-498, March.
    3. Lam Quoc Anh & Tran Quoc Duy & Le Dung Muu & Truong Van Tri, 2021. "The Tikhonov regularization for vector equilibrium problems," Computational Optimization and Applications, Springer, vol. 78(3), pages 769-792, April.

  8. I. Konnov, 2014. "On penalty methods for non monotone equilibrium problems," Journal of Global Optimization, Springer, vol. 59(1), pages 131-138, May.

    Cited by:

    1. I. V. Konnov, 2019. "Equilibrium formulations of relative optimization problems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 90(1), pages 137-152, August.
    2. I. V. Konnov, 2015. "Regularized Penalty Method for General Equilibrium Problems in Banach Spaces," Journal of Optimization Theory and Applications, Springer, vol. 164(2), pages 500-513, February.
    3. Lam Quoc Anh & Tran Quoc Duy & Le Dung Muu & Truong Van Tri, 2021. "The Tikhonov regularization for vector equilibrium problems," Computational Optimization and Applications, Springer, vol. 78(3), pages 769-792, April.

  9. I. V. Konnov, 2014. "Right-Hand Side Decomposition for Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 160(1), pages 221-238, January.

    Cited by:

    1. E. Allevi & A. Gnudi & I. V. Konnov & G. Oggioni, 2018. "Decomposition method for oligopolistic competitive models with common environmental regulation," Annals of Operations Research, Springer, vol. 268(1), pages 441-467, September.

  10. I. Konnov, 2013. "Vector network equilibrium problems with elastic demands," Journal of Global Optimization, Springer, vol. 57(2), pages 521-531, October.

    Cited by:

    1. Dinh The Luc & Truong Thi Thanh Phuong, 2016. "Equilibrium in Multi-criteria Transportation Networks," Journal of Optimization Theory and Applications, Springer, vol. 169(1), pages 116-147, April.
    2. I. Konnov, 2015. "On auction equilibrium models with network applications," Netnomics, Springer, vol. 16(1), pages 107-125, August.

  11. I. Konnov & D. Dyabilkin, 2011. "Nonmonotone equilibrium problems: coercivity conditions and weak regularization," Journal of Global Optimization, Springer, vol. 49(4), pages 575-587, April.

    Cited by:

    1. I. V. Konnov, 2019. "Equilibrium formulations of relative optimization problems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 90(1), pages 137-152, August.
    2. J. X. Cruz Neto & J. O. Lopes & A. Soubeyran & J. C. O. Souza, 2022. "Abstract regularized equilibria: application to Becker’s household behavior theory," Annals of Operations Research, Springer, vol. 316(2), pages 1279-1300, September.
    3. I. V. Konnov, 2015. "Regularized Penalty Method for General Equilibrium Problems in Banach Spaces," Journal of Optimization Theory and Applications, Springer, vol. 164(2), pages 500-513, February.
    4. Lam Quoc Anh & Tran Quoc Duy & Le Dung Muu & Truong Van Tri, 2021. "The Tikhonov regularization for vector equilibrium problems," Computational Optimization and Applications, Springer, vol. 78(3), pages 769-792, April.
    5. I. Konnov, 2014. "On penalty methods for non monotone equilibrium problems," Journal of Global Optimization, Springer, vol. 59(1), pages 131-138, May.
    6. Jean Strodiot & Phan Vuong & Thi Nguyen, 2016. "A class of shrinking projection extragradient methods for solving non-monotone equilibrium problems in Hilbert spaces," Journal of Global Optimization, Springer, vol. 64(1), pages 159-178, January.
    7. Bigi, Giancarlo & Castellani, Marco & Pappalardo, Massimo & Passacantando, Mauro, 2013. "Existence and solution methods for equilibria," European Journal of Operational Research, Elsevier, vol. 227(1), pages 1-11.
    8. Marco Castellani & Massimiliano Giuli, 2021. "A Generalized Ky Fan Minimax Inequality on Finite-Dimensional Spaces," Journal of Optimization Theory and Applications, Springer, vol. 190(2), pages 343-357, August.
    9. Jinxia Cen & Tahar Haddad & Van Thien Nguyen & Shengda Zeng, 2022. "Simultaneous distributed-boundary optimal control problems driven by nonlinear complementarity systems," Journal of Global Optimization, Springer, vol. 84(3), pages 783-805, November.
    10. I. Konnov, 2013. "Vector network equilibrium problems with elastic demands," Journal of Global Optimization, Springer, vol. 57(2), pages 521-531, October.
    11. P. Anh & J. Kim & L. Muu, 2012. "An extragradient algorithm for solving bilevel pseudomonotone variational inequalities," Journal of Global Optimization, Springer, vol. 52(3), pages 627-639, March.
    12. I. Konnov, 2015. "On auction equilibrium models with network applications," Netnomics, Springer, vol. 16(1), pages 107-125, August.
    13. Mohammad Alizadeh & Nicolas Hadjisavvas, 2012. "Local boundedness of monotone bifunctions," Journal of Global Optimization, Springer, vol. 53(2), pages 231-241, June.
    14. M. Castellani & M. Giuli, 2019. "A coercivity condition for nonmonotone quasiequilibria on finite-dimensional spaces," Journal of Global Optimization, Springer, vol. 75(1), pages 163-176, September.

  12. M. Bianchi & I. Konnov & R. Pini, 2010. "Lexicographic and sequential equilibrium problems," Journal of Global Optimization, Springer, vol. 46(4), pages 551-560, April.

    Cited by:

    1. I. Konnov, 2013. "Vector network equilibrium problems with elastic demands," Journal of Global Optimization, Springer, vol. 57(2), pages 521-531, October.
    2. Phan Khanh & Vo Long, 2014. "Invariant-point theorems and existence of solutions to optimization-related problems," Journal of Global Optimization, Springer, vol. 58(3), pages 545-564, March.

  13. Igor Konnov, 2009. "Decomposition Approaches for Constrained Spatial Auction Market Problems," Networks and Spatial Economics, Springer, vol. 9(4), pages 505-524, December.

    Cited by:

    1. Igor Konnov, 2021. "Variational Inequality Type Formulations of General Market Equilibrium Problems with Local Information," Journal of Optimization Theory and Applications, Springer, vol. 188(2), pages 332-355, February.
    2. E. Allevi & A. Gnudi & I. V. Konnov & G. Oggioni, 2022. "Dynamic Spatial Equilibrium Models: an Application to the Natural Gas Spot Markets," Networks and Spatial Economics, Springer, vol. 22(2), pages 205-241, June.
    3. I. Konnov, 2014. "On penalty methods for non monotone equilibrium problems," Journal of Global Optimization, Springer, vol. 59(1), pages 131-138, May.
    4. Elisabetta Allevi & Adriana Gnudi & Igor V. Konnov & Giorgia Oggioni, 2017. "Dynamic Spatial Auction Market Models with General Cost Mappings," Networks and Spatial Economics, Springer, vol. 17(2), pages 367-403, June.
    5. I. Konnov, 2015. "On auction equilibrium models with network applications," Netnomics, Springer, vol. 16(1), pages 107-125, August.
    6. Shilei Wang, 2017. "Complex Interactions in Large Government Networks," Networks and Spatial Economics, Springer, vol. 17(4), pages 1213-1229, December.

  14. E. Allevi & A. Gnudi & I. Konnov, 2006. "The Proximal Point Method for Nonmonotone Variational Inequalities," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 63(3), pages 553-565, July.

    Cited by:

    1. M. R. Bai & N. Hadjisavvas, 2008. "Relaxed Quasimonotone Operators and Relaxed Quasiconvex Functions," Journal of Optimization Theory and Applications, Springer, vol. 138(3), pages 329-339, September.
    2. Han, Ke & Friesz, Terry L. & Szeto, W.Y. & Liu, Hongcheng, 2015. "Elastic demand dynamic network user equilibrium: Formulation, existence and computation," Transportation Research Part B: Methodological, Elsevier, vol. 81(P1), pages 183-209.

  15. I. V. Konnov & S. Schaible & J. C. Yao, 2005. "Combined Relaxation Method for Mixed Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 126(2), pages 309-322, August.

    Cited by:

    1. I. V. Konnov, 2014. "Right-Hand Side Decomposition for Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 160(1), pages 221-238, January.
    2. E. Allevi & A. Gnudi & I. V. Konnov & G. Oggioni, 2018. "Evaluating the effects of environmental regulations on a closed-loop supply chain network: a variational inequality approach," Annals of Operations Research, Springer, vol. 261(1), pages 1-43, February.
    3. I. V. Konnov, 1997. "A Class of Combined Iterative Methods for Solving Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 94(3), pages 677-693, September.
    4. L. C. Zeng & J. C. Yao, 2006. "Modified Combined Relaxation Method for General Monotone Equilibrium Problems in Hilbert Spaces," Journal of Optimization Theory and Applications, Springer, vol. 131(3), pages 469-483, December.
    5. M. Castellani & M. Giuli, 2010. "On Equivalent Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 147(1), pages 157-168, October.
    6. Yonghong Yao & Yeong-Cheng Liou & Ngai-Ching Wong, 2013. "Superimposed optimization methods for the mixed equilibrium problem and variational inclusion," Journal of Global Optimization, Springer, vol. 57(3), pages 935-950, November.
    7. Bigi, Giancarlo & Castellani, Marco & Pappalardo, Massimo & Passacantando, Mauro, 2013. "Existence and solution methods for equilibria," European Journal of Operational Research, Elsevier, vol. 227(1), pages 1-11.
    8. Uthai Kamraksa & Rabian Wangkeeree, 2011. "Generalized equilibrium problems and fixed point problems for nonexpansive semigroups in Hilbert spaces," Journal of Global Optimization, Springer, vol. 51(4), pages 689-714, December.
    9. N. J. Huang & J. Li & J. C. Yao, 2007. "Gap Functions and Existence of Solutions for a System of Vector Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 133(2), pages 201-212, May.
    10. Yao, Yonghong & Cho, Yeol Je & Liou, Yeong-Cheng, 2011. "Algorithms of common solutions for variational inclusions, mixed equilibrium problems and fixed point problems," European Journal of Operational Research, Elsevier, vol. 212(2), pages 242-250, July.
    11. I. V. Konnov, 2001. "Combined Relaxation Method for Monotone Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 111(2), pages 327-340, November.
    12. Alfredo Iusem & Mostafa Nasri, 2011. "Korpelevich’s method for variational inequality problems in Banach spaces," Journal of Global Optimization, Springer, vol. 50(1), pages 59-76, May.
    13. Minglu Ye & Yiran He, 2015. "A double projection method for solving variational inequalities without monotonicity," Computational Optimization and Applications, Springer, vol. 60(1), pages 141-150, January.
    14. I. V. Konnov, 1998. "On Quasimonotone Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 99(1), pages 165-181, October.

  16. Igor V. Konnov, 2004. "Dual approach for a class of implicit convex optimization problems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 60(1), pages 87-99, September.

    Cited by:

    1. I. Konnov & D. Dyabilkin, 2011. "Nonmonotone equilibrium problems: coercivity conditions and weak regularization," Journal of Global Optimization, Springer, vol. 49(4), pages 575-587, April.

  17. E. Allevi & A. Gnudi & I.V. Konnov, 2004. "Generalized Vector Variational Inequalities over Countable Product of Sets," Journal of Global Optimization, Springer, vol. 30(2), pages 155-167, November.

    Cited by:

    1. Dang Hieu & Duong Viet Thong, 2018. "New extragradient-like algorithms for strongly pseudomonotone variational inequalities," Journal of Global Optimization, Springer, vol. 70(2), pages 385-399, February.
    2. E. Allevi & A. Gnudi & I.V. Konnov & S. Schaible, 2003. "Noncooperative Games with Vector Payoffs Under Relative Pseudomonotonicity," Journal of Optimization Theory and Applications, Springer, vol. 118(2), pages 245-254, August.
    3. Monica Bianchi & Siegfried Schaible, 2004. "Equilibrium Problems under Generalized Convexity and Generalized Monotonicity," Journal of Global Optimization, Springer, vol. 30(2), pages 121-134, November.

  18. I.V. Konnov, 2003. "Application of the Proximal Point Method to Nonmonotone Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 119(2), pages 317-333, November.

    Cited by:

    1. Song, Wenjing & Han, Ke & Wang, Yiou & Friesz, Terry L. & del Castillo, Enrique, 2018. "Statistical metamodeling of dynamic network loading," Transportation Research Part B: Methodological, Elsevier, vol. 117(PB), pages 740-756.
    2. Tran Quoc & Le Muu, 2012. "Iterative methods for solving monotone equilibrium problems via dual gap functions," Computational Optimization and Applications, Springer, vol. 51(2), pages 709-728, March.
    3. A. Iusem & F. Lara, 2022. "Proximal Point Algorithms for Quasiconvex Pseudomonotone Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 193(1), pages 443-461, June.
    4. E. Allevi & A. Gnudi & I. Konnov, 2006. "The Proximal Point Method for Nonmonotone Variational Inequalities," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 63(3), pages 553-565, July.
    5. J. Y. Bello Cruz & P. S. M. Santos & S. Scheimberg, 2013. "A Two-Phase Algorithm for a Variational Inequality Formulation of Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 159(3), pages 562-575, December.
    6. J. X. Cruz Neto & J. O. Lopes & A. Soubeyran & J. C. O. Souza, 2022. "Abstract regularized equilibria: application to Becker’s household behavior theory," Annals of Operations Research, Springer, vol. 316(2), pages 1279-1300, September.
    7. Ke Han & Terry L. Friesz, 2017. "Continuity of the Effective Delay Operator for Networks Based on the Link Delay Model," Networks and Spatial Economics, Springer, vol. 17(4), pages 1095-1110, December.
    8. Giancarlo Bigi & Mauro Passacantando, 2017. "Differentiated oligopolistic markets with concave cost functions via Ky Fan inequalities," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 40(1), pages 63-79, November.
    9. Stefano Lucidi & Mauro Passacantando & Francesco Rinaldi, 2022. "Solving non-monotone equilibrium problems via a DIRECT-type approach," Journal of Global Optimization, Springer, vol. 83(4), pages 699-725, August.
    10. Pasakorn Yordsorn & Poom Kumam & Habib ur Rehman & Abdulkarim Hassan Ibrahim, 2020. "A Weak Convergence Self-Adaptive Method for Solving Pseudomonotone Equilibrium Problems in a Real Hilbert Space," Mathematics, MDPI, vol. 8(7), pages 1-24, July.
    11. Nils Langenberg, 2012. "Interior point methods for equilibrium problems," Computational Optimization and Applications, Springer, vol. 53(2), pages 453-483, October.
    12. Bigi, Giancarlo & Castellani, Marco & Pappalardo, Massimo & Passacantando, Mauro, 2013. "Existence and solution methods for equilibria," European Journal of Operational Research, Elsevier, vol. 227(1), pages 1-11.
    13. Habib ur Rehman & Poom Kumam & Meshal Shutaywi & Nasser Aedh Alreshidi & Wiyada Kumam, 2020. "Inertial Optimization Based Two-Step Methods for Solving Equilibrium Problems with Applications in Variational Inequality Problems and Growth Control Equilibrium Models," Energies, MDPI, vol. 13(12), pages 1-28, June.
    14. Han, Ke & Szeto, W.Y. & Friesz, Terry L., 2015. "Formulation, existence, and computation of boundedly rational dynamic user equilibrium with fixed or endogenous user tolerance," Transportation Research Part B: Methodological, Elsevier, vol. 79(C), pages 16-49.
    15. L. D. Muu & T. D. Quoc, 2009. "Regularization Algorithms for Solving Monotone Ky Fan Inequalities with Application to a Nash-Cournot Equilibrium Model," Journal of Optimization Theory and Applications, Springer, vol. 142(1), pages 185-204, July.
    16. Dang Hieu, 2018. "An inertial-like proximal algorithm for equilibrium problems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 88(3), pages 399-415, December.
    17. Le Quang Thuy & Trinh Ngoc Hai, 2017. "A Projected Subgradient Algorithm for Bilevel Equilibrium Problems and Applications," Journal of Optimization Theory and Applications, Springer, vol. 175(2), pages 411-431, November.
    18. N. N. Tam & J. C. Yao & N. D. Yen, 2008. "Solution Methods for Pseudomonotone Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 138(2), pages 253-273, August.
    19. Han, Ke & Friesz, Terry L. & Szeto, W.Y. & Liu, Hongcheng, 2015. "Elastic demand dynamic network user equilibrium: Formulation, existence and computation," Transportation Research Part B: Methodological, Elsevier, vol. 81(P1), pages 183-209.
    20. Abdellatif Moudafi, 2010. "Proximal methods for a class of bilevel monotone equilibrium problems," Journal of Global Optimization, Springer, vol. 47(2), pages 287-292, June.
    21. Dang Hieu & Pham Kim Quy, 2023. "One-Step iterative method for bilevel equilibrium problem in Hilbert space," Journal of Global Optimization, Springer, vol. 85(2), pages 487-510, February.
    22. J. X. Cruz Neto & F. M. O. Jacinto & P. A. Soares & J. C. O. Souza, 2018. "On maximal monotonicity of bifunctions on Hadamard manifolds," Journal of Global Optimization, Springer, vol. 72(3), pages 591-601, November.
    23. Habib ur Rehman & Poom Kumam & Ioannis K. Argyros & Meshal Shutaywi & Zahir Shah, 2020. "Optimization Based Methods for Solving the Equilibrium Problems with Applications in Variational Inequality Problems and Solution of Nash Equilibrium Models," Mathematics, MDPI, vol. 8(5), pages 1-28, May.
    24. P. Anh & T. Hai & P. Tuan, 2016. "On ergodic algorithms for equilibrium problems," Journal of Global Optimization, Springer, vol. 64(1), pages 179-195, January.

  19. E. Allevi & A. Gnudi & I.V. Konnov & S. Schaible, 2003. "Noncooperative Games with Vector Payoffs Under Relative Pseudomonotonicity," Journal of Optimization Theory and Applications, Springer, vol. 118(2), pages 245-254, August.

    Cited by:

    1. Luisa Monroy & Amparo M. Mármol & Victoriana Rubiales, 2005. "A bargaining model for finite n-person multi-criteria games," Economic Working Papers at Centro de Estudios Andaluces E2005/21, Centro de Estudios Andaluces.
    2. Annamaria Barbagallo & Stéphane Pia, 2011. "Weighted variational inequalities in non-pivot Hilbert spaces with applications," Computational Optimization and Applications, Springer, vol. 48(3), pages 487-514, April.

  20. I.V. Konnov, 2003. "On Lexicographic Vector Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 118(3), pages 681-688, September.

    Cited by:

    1. I. Konnov, 2013. "Vector network equilibrium problems with elastic demands," Journal of Global Optimization, Springer, vol. 57(2), pages 521-531, October.
    2. M. Bianchi & I. Konnov & R. Pini, 2010. "Lexicographic and sequential equilibrium problems," Journal of Global Optimization, Springer, vol. 46(4), pages 551-560, April.

  21. I. V. Konnov & E. O. Volotskaya, 2002. "Mixed variational inequalities and economic equilibrium problems," Journal of Applied Mathematics, Hindawi, vol. 2, pages 1-26, January.

    Cited by:

    1. D. Goeleven, 2008. "Existence and Uniqueness for a Linear Mixed Variational Inequality Arising in Electrical Circuits with Transistors," Journal of Optimization Theory and Applications, Springer, vol. 138(3), pages 397-406, September.
    2. Jolaoso, Lateef O. & Shehu, Yekini & Yao, Jen-Chih, 2022. "Inertial extragradient type method for mixed variational inequalities without monotonicity," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 192(C), pages 353-369.

  22. Q.H. Ansari & I.V. Konnov & J.C. Yao, 2002. "Characterizations of Solutions for Vector Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 113(3), pages 435-447, June.

    Cited by:

    1. J. Y. Fu, 2006. "Stampacchia Generalized Vector Quasiequilibrium Problems and Vector Saddle Points," Journal of Optimization Theory and Applications, Springer, vol. 128(3), pages 605-619, March.
    2. Adela Capătă, 2011. "Existence results for proper efficient solutions of vector equilibrium problems and applications," Journal of Global Optimization, Springer, vol. 51(4), pages 657-675, December.
    3. J. Y. Fu & S. H. Wang & Z. D. Huang, 2007. "New Type of Generalized Vector Quasiequilibrium Problem," Journal of Optimization Theory and Applications, Springer, vol. 135(3), pages 643-652, December.
    4. Ouayl Chadli & Qamrul Hasan Ansari & Suliman Al-Homidan, 2017. "Existence of Solutions and Algorithms for Bilevel Vector Equilibrium Problems: An Auxiliary Principle Technique," Journal of Optimization Theory and Applications, Springer, vol. 172(3), pages 726-758, March.
    5. Wensheng Jia & Xiaoling Qiu & Dingtao Peng, 2020. "An Approximation Theorem for Vector Equilibrium Problems under Bounded Rationality," Mathematics, MDPI, vol. 8(1), pages 1-9, January.
    6. Li, S.J. & Chen, C.R. & Wu, S.Y., 2009. "Conjugate dual problems in constrained set-valued optimization and applications," European Journal of Operational Research, Elsevier, vol. 196(1), pages 21-32, July.
    7. Szilárd László, 2016. "Vector Equilibrium Problems on Dense Sets," Journal of Optimization Theory and Applications, Springer, vol. 170(2), pages 437-457, August.
    8. Tran Van Su, 2018. "New optimality conditions for unconstrained vector equilibrium problem in terms of contingent derivatives in Banach spaces," 4OR, Springer, vol. 16(2), pages 173-198, June.

  23. I. V. Konnov & Sangho Kum & Gue Myung Lee, 2002. "On convergence of descent methods for variational inequalities in a Hilbert space," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 55(3), pages 371-382, June.

    Cited by:

    1. Kwon, Changhyun & Friesz, Terry L. & Mookherjee, Reetabrata & Yao, Tao & Feng, Baichun, 2009. "Non-cooperative competition among revenue maximizing service providers with demand learning," European Journal of Operational Research, Elsevier, vol. 197(3), pages 981-996, September.

  24. Allevi, E., Gnudi, A. & Konnov, I.V., 2001. "Combined relaxation method with Frank-Wolfe type auxiliary procedures for variational inequalities over product sets," Pure Mathematics and Applications, Department of Mathematics, Corvinus University of Budapest, vol. 12(1), pages 1-9.

    Cited by:

    1. I. V. Konnov, 2016. "Selective bi-coordinate variations for resource allocation type problems," Computational Optimization and Applications, Springer, vol. 64(3), pages 821-842, July.
    2. Monica Bianchi & Siegfried Schaible, 2004. "Equilibrium Problems under Generalized Convexity and Generalized Monotonicity," Journal of Global Optimization, Springer, vol. 30(2), pages 121-134, November.
    3. Annamaria Barbagallo & Stéphane Pia, 2011. "Weighted variational inequalities in non-pivot Hilbert spaces with applications," Computational Optimization and Applications, Springer, vol. 48(3), pages 487-514, April.

  25. I. V. Konnov, 2001. "Combined Relaxation Method for Monotone Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 111(2), pages 327-340, November.

    Cited by:

    1. E. Allevi & A. Gnudi & I.V. Konnov & S. Schaible, 2003. "Noncooperative Games with Vector Payoffs Under Relative Pseudomonotonicity," Journal of Optimization Theory and Applications, Springer, vol. 118(2), pages 245-254, August.
    2. Dang Hieu, 2017. "New subgradient extragradient methods for common solutions to equilibrium problems," Computational Optimization and Applications, Springer, vol. 67(3), pages 571-594, July.
    3. L. C. Zeng & J. C. Yao, 2006. "Modified Combined Relaxation Method for General Monotone Equilibrium Problems in Hilbert Spaces," Journal of Optimization Theory and Applications, Springer, vol. 131(3), pages 469-483, December.
    4. Bigi, Giancarlo & Castellani, Marco & Pappalardo, Massimo & Passacantando, Mauro, 2013. "Existence and solution methods for equilibria," European Journal of Operational Research, Elsevier, vol. 227(1), pages 1-11.
    5. I.V. Konnov, 2003. "On Lexicographic Vector Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 118(3), pages 681-688, September.
    6. I. Konnov, 2013. "Vector network equilibrium problems with elastic demands," Journal of Global Optimization, Springer, vol. 57(2), pages 521-531, October.
    7. Q.H. Ansari & I.V. Konnov & J.C. Yao, 2002. "Characterizations of Solutions for Vector Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 113(3), pages 435-447, June.
    8. E. Allevi & A. Gnudi & I.V. Konnov, 2004. "Generalized Vector Variational Inequalities over Countable Product of Sets," Journal of Global Optimization, Springer, vol. 30(2), pages 155-167, November.
    9. Q. H. Ansari & I. V. Konnov & J. C. Yao, 2001. "Existence of a Solution and Variational Principles for Vector Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 110(3), pages 481-492, September.

  26. Q. H. Ansari & I. V. Konnov & J. C. Yao, 2001. "Existence of a Solution and Variational Principles for Vector Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 110(3), pages 481-492, September.

    Cited by:

    1. Nguyen Hai & Phan Khanh & Nguyen Quan, 2009. "On the existence of solutions to quasivariational inclusion problems," Computational Optimization and Applications, Springer, vol. 45(4), pages 565-581, December.
    2. L. C. Ceng & G. Mastroeni & J. C. Yao, 2008. "Existence of Solutions and Variational Principles for Generalized Vector Systems," Journal of Optimization Theory and Applications, Springer, vol. 137(3), pages 485-495, June.
    3. Chih-Sheng Chuang & Lai-Jiu Lin, 2013. "New existence theorems for quasi-equilibrium problems and a minimax theorem on complete metric spaces," Journal of Global Optimization, Springer, vol. 57(2), pages 533-547, October.
    4. Adela Capătă, 2011. "Existence results for proper efficient solutions of vector equilibrium problems and applications," Journal of Global Optimization, Springer, vol. 51(4), pages 657-675, December.
    5. Yu Han & Nan-jing Huang, 2018. "Existence and Connectedness of Solutions for Generalized Vector Quasi-Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 179(1), pages 65-85, October.
    6. Bin Chen & Nan-jing Huang, 2013. "Continuity of the solution mapping to parametric generalized vector equilibrium problems," Journal of Global Optimization, Springer, vol. 56(4), pages 1515-1528, August.
    7. Ouayl Chadli & Qamrul Hasan Ansari & Suliman Al-Homidan, 2017. "Existence of Solutions and Algorithms for Bilevel Vector Equilibrium Problems: An Auxiliary Principle Technique," Journal of Optimization Theory and Applications, Springer, vol. 172(3), pages 726-758, March.
    8. Chih-Sheng Chuang & Lai-Jiu Lin, 2013. "Existence and uniqueness of solution for quasi-equilibrium problems and fixed point problems on complete metric spaces with applications," Journal of Global Optimization, Springer, vol. 57(3), pages 829-841, November.
    9. Li, S.J. & Chen, C.R. & Wu, S.Y., 2009. "Conjugate dual problems in constrained set-valued optimization and applications," European Journal of Operational Research, Elsevier, vol. 196(1), pages 21-32, July.
    10. Szilárd László, 2016. "Vector Equilibrium Problems on Dense Sets," Journal of Optimization Theory and Applications, Springer, vol. 170(2), pages 437-457, August.
    11. Tran Van Su, 2018. "New optimality conditions for unconstrained vector equilibrium problem in terms of contingent derivatives in Banach spaces," 4OR, Springer, vol. 16(2), pages 173-198, June.

  27. I. V. Konnov & S. Schaible, 2000. "Duality for Equilibrium Problems under Generalized Monotonicity," Journal of Optimization Theory and Applications, Springer, vol. 104(2), pages 395-408, February.

    Cited by:

    1. Nicuşor Costea & Daniel Alexandru Ion & Cezar Lupu, 2012. "Variational-Like Inequality Problems Involving Set-Valued Maps and Generalized Monotonicity," Journal of Optimization Theory and Applications, Springer, vol. 155(1), pages 79-99, October.
    2. L. Anh & P. Khanh & T. Tam, 2015. "On Hölder continuity of solution maps of parametric primal and dual Ky Fan inequalities," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 23(1), pages 151-167, April.
    3. Boualem Alleche & Vicenţiu D. Rădulescu, 2016. "Solutions and Approximate Solutions of Quasi-Equilibrium Problems in Banach Spaces," Journal of Optimization Theory and Applications, Springer, vol. 170(2), pages 629-649, August.
    4. E. Allevi & A. Gnudi & I.V. Konnov & S. Schaible, 2003. "Noncooperative Games with Vector Payoffs Under Relative Pseudomonotonicity," Journal of Optimization Theory and Applications, Springer, vol. 118(2), pages 245-254, August.
    5. I.V. Konnov, 2003. "Application of the Proximal Point Method to Nonmonotone Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 119(2), pages 317-333, November.
    6. L.J. Lin & Q.H. Ansari & J.Y. Wu, 2003. "Geometric Properties and Coincidence Theorems with Applications to Generalized Vector Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 117(1), pages 121-137, April.
    7. M. Fakhar & J. Zafarani, 2004. "Generalized Equilibrium Problems for Quasimonotone and Pseudomonotone Bifunctions," Journal of Optimization Theory and Applications, Springer, vol. 123(2), pages 349-364, November.
    8. Yuehu Wang & Baoqing Liu, 2019. "Order-Preservation Properties of Solution Mapping for Parametric Equilibrium Problems and Their Applications," Journal of Optimization Theory and Applications, Springer, vol. 183(3), pages 881-901, December.

  28. I. V. Konnov, 1998. "On Quasimonotone Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 99(1), pages 165-181, October.

    Cited by:

    1. N. Hadjisavvas & S. Schaible & N.-C. Wong, 2012. "Pseudomonotone Operators: A Survey of the Theory and Its Applications," Journal of Optimization Theory and Applications, Springer, vol. 152(1), pages 1-20, January.
    2. Nils Langenberg, 2012. "An Interior Proximal Method for a Class of Quasimonotone Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 155(3), pages 902-922, December.
    3. Yiran He, 2017. "Solvability of the Minty Variational Inequality," Journal of Optimization Theory and Applications, Springer, vol. 174(3), pages 686-692, September.
    4. R. P. Agarwal & M. Balaj & D. O’Regan, 2014. "A Common Fixed Point Theorem with Applications," Journal of Optimization Theory and Applications, Springer, vol. 163(2), pages 482-490, November.
    5. Kassay, Gabor & Kolumban, Jozsef & Pales, Zsolt, 2002. "Factorization of Minty and Stampacchia variational inequality systems," European Journal of Operational Research, Elsevier, vol. 143(2), pages 377-389, December.
    6. E. Allevi & A. Gnudi & I. Konnov, 2006. "The Proximal Point Method for Nonmonotone Variational Inequalities," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 63(3), pages 553-565, July.
    7. A. Daniilidis & N. Hadjisavvas, 1999. "Characterization of Nonsmooth Semistrictly Quasiconvex and Strictly Quasiconvex Functions," Journal of Optimization Theory and Applications, Springer, vol. 102(3), pages 525-536, September.
    8. D. T. Luc, 2008. "An Abstract Problem in Variational Analysis," Journal of Optimization Theory and Applications, Springer, vol. 138(1), pages 65-76, July.
    9. Han, Ke & Szeto, W.Y. & Friesz, Terry L., 2015. "Formulation, existence, and computation of boundedly rational dynamic user equilibrium with fixed or endogenous user tolerance," Transportation Research Part B: Methodological, Elsevier, vol. 79(C), pages 16-49.
    10. Han, Ke & Friesz, Terry L. & Szeto, W.Y. & Liu, Hongcheng, 2015. "Elastic demand dynamic network user equilibrium: Formulation, existence and computation," Transportation Research Part B: Methodological, Elsevier, vol. 81(P1), pages 183-209.

  29. I. V. Konnov, 1997. "A Class of Combined Iterative Methods for Solving Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 94(3), pages 677-693, September.

    Cited by:

    1. Jiapeng Yan & Huifang Kong & Zhihong Man, 2022. "Recurrent Neural Network-Based Nonlinear Optimization for Braking Control of Electric Vehicles," Energies, MDPI, vol. 15(24), pages 1-17, December.
    2. Y. J. Wang & N. H. Xiu & C. Y. Wang, 2001. "Unified Framework of Extragradient-Type Methods for Pseudomonotone Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 111(3), pages 641-656, December.
    3. Y. J. Wang & N. H. Xiu & J. Z. Zhang, 2003. "Modified Extragradient Method for Variational Inequalities and Verification of Solution Existence," Journal of Optimization Theory and Applications, Springer, vol. 119(1), pages 167-183, October.

Chapters

  1. Igor V. Konnov, 2007. "Combined Relaxation Methods for Generalized Monotone Variational Inequalities," Lecture Notes in Economics and Mathematical Systems, in: Generalized Convexity and Related Topics, pages 3-31, Springer.

    Cited by:

    1. I. V. Konnov, 2014. "Right-Hand Side Decomposition for Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 160(1), pages 221-238, January.
    2. Tran Quoc & Le Muu, 2012. "Iterative methods for solving monotone equilibrium problems via dual gap functions," Computational Optimization and Applications, Springer, vol. 51(2), pages 709-728, March.
    3. I. V. Konnov, 2015. "Regularized Penalty Method for General Equilibrium Problems in Banach Spaces," Journal of Optimization Theory and Applications, Springer, vol. 164(2), pages 500-513, February.
    4. Tran Quoc & Pham Anh & Le Muu, 2012. "Dual extragradient algorithms extended to equilibrium problems," Journal of Global Optimization, Springer, vol. 52(1), pages 139-159, January.

  2. Elisabetta Allevi & Adriana Gnudi & Igor V. Konnov, 2007. "Partitionable Variational Inequalities with Multi-valued Mappings," Lecture Notes in Economics and Mathematical Systems, in: Generalized Convexity and Related Topics, pages 91-100, Springer.

    Cited by:

    1. I. Konnov & D. Dyabilkin, 2011. "Nonmonotone equilibrium problems: coercivity conditions and weak regularization," Journal of Global Optimization, Springer, vol. 49(4), pages 575-587, April.

  3. Igor V. Konnov, 2006. "Application of the Proximal Point Method to a System of Extended Primal-Dual Equilibrium Problems," Lecture Notes in Economics and Mathematical Systems, in: Alberto Seeger (ed.), Recent Advances in Optimization, pages 87-102, Springer.

    Cited by:

    1. I. V. Konnov, 2014. "Right-Hand Side Decomposition for Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 160(1), pages 221-238, January.

Books

  1. Igor V. Konnov & Dinh The Luc & Alexander M. Rubinov, 2006. "Generalized Convexity and Related Topics," Lecture Notes in Economics and Mathematical Systems, Springer, number 978-3-540-37007-9, December.

    Cited by:

    1. Malti Kapoor, 2017. "Vector optimization over cones involving support functions using generalized $$(\Phi ,\rho )$$ ( Φ , ρ ) -convexity," OPSEARCH, Springer;Operational Research Society of India, vol. 54(2), pages 351-364, June.
    2. Tran Quoc & Le Muu, 2012. "Iterative methods for solving monotone equilibrium problems via dual gap functions," Computational Optimization and Applications, Springer, vol. 51(2), pages 709-728, March.
    3. I. Konnov & D. Dyabilkin, 2011. "Nonmonotone equilibrium problems: coercivity conditions and weak regularization," Journal of Global Optimization, Springer, vol. 49(4), pages 575-587, April.
    4. Leandro Nascimento, 2011. "Remarks on the consumer problem under incomplete preferences," Theory and Decision, Springer, vol. 70(1), pages 95-110, January.
    5. M. M. Mäkelä & Y. Nikulin, 2009. "On Cone Characterizations of Strong and Lexicographic Optimality in Convex Multiobjective Optimization," Journal of Optimization Theory and Applications, Springer, vol. 143(3), pages 519-538, December.
    6. Riccardo Cambini & Laura Carosi & Laura Martein, 2017. "Generating the efficient frontier of a class of bicriteria generalized fractional programming," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 40(1), pages 81-101, November.
    7. N. J. Huang & J. Li & S. Y. Wu, 2009. "Optimality Conditions for Vector Optimization Problems," Journal of Optimization Theory and Applications, Springer, vol. 142(2), pages 323-342, August.
    8. Arun Kumar Tripathy, 2021. "The Study Higher-order Wolfe-type Non-differentiable Multiple Objective Symmetric Duality Involving Generalized Convex Functions," SN Operations Research Forum, Springer, vol. 2(4), pages 1-18, December.
    9. Tran Quoc & Pham Anh & Le Muu, 2012. "Dual extragradient algorithms extended to equilibrium problems," Journal of Global Optimization, Springer, vol. 52(1), pages 139-159, January.
    10. I.V. Konnov, 2003. "On Lexicographic Vector Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 118(3), pages 681-688, September.
    11. Tadeusz Antczak, 2014. "On efficiency and mixed duality for a new class of nonconvex multiobjective variational control problems," Journal of Global Optimization, Springer, vol. 59(4), pages 757-785, August.
    12. Ke Zhao & Xue Liu & Zhe Chen, 2011. "A class of r-semipreinvex functions and optimality in nonlinear programming," Journal of Global Optimization, Springer, vol. 49(1), pages 37-47, January.

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