Generalized Convexity and Related Topics
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Abstract
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Suggested Citation
DOI: 10.1007/978-3-540-37007-9
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Citations
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Cited by:
- 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.
- 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.
- I.V. Konnov, 2003. "On Lexicographic Vector Equilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 118(3), pages 681-688, September.
- 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.
- Leandro Nascimento, 2011. "Remarks on the consumer problem under incomplete preferences," Theory and Decision, Springer, vol. 70(1), pages 95-110, January.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
Book Chapters
The following chapters of this book are listed in IDEAS- 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.
- Vladimir L. Levin, 2007. "Abstract Convexity and the Monge-Kantorovich Duality," Lecture Notes in Economics and Mathematical Systems, in: Generalized Convexity and Related Topics, pages 33-72, Springer.
- Dehui Yuan & Altannar Chinchuluun & Xiaoling Liu & Panos M. Pardalos, 2007. "Optimality Conditions and Duality for Multiobjective Programming Involving (C, α, ρ, d) type-I Functions," Lecture Notes in Economics and Mathematical Systems, in: Generalized Convexity and Related Topics, pages 73-87, Springer.
- 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.
- Radu Ioan Boţ & Sorin-Mihai Grad & Gert Wanka, 2007. "Almost Convex Functions: Conjugacy and Duality," Lecture Notes in Economics and Mathematical Systems, in: Generalized Convexity and Related Topics, pages 101-114, Springer.
- Alberto Cambini & Laura Martein, 2007. "Pseudomonotonicity of a Linear Map on the Interior of the Positive Orthant," Lecture Notes in Economics and Mathematical Systems, in: Generalized Convexity and Related Topics, pages 115-131, Springer.
- Riccardo Cambini & Rossana Riccardi1 & Ümit Yüceer, 2007. "An Approach to Discrete Convexity and Its Use in an Optimal Fleet Mix Problem," Lecture Notes in Economics and Mathematical Systems, in: Generalized Convexity and Related Topics, pages 133-148, Springer.
- Riccardo Cambini & Claudio Sodini, 2007. "A Unifying Approach to Solve a Class of Parametrically-Convexifiable Problems," Lecture Notes in Economics and Mathematical Systems, in: Generalized Convexity and Related Topics, pages 149-166, Springer.
- Giuseppe Caristi & Massimiliano Ferrara & Anton Stefanescu, 2007. "Mathematical Programming with (Φ, ρ)-invexity," Lecture Notes in Economics and Mathematical Systems, in: Generalized Convexity and Related Topics, pages 167-176, Springer.
- Laura Carosi & Laura Martein, 2007. "Some Classes of Pseudoconvex Fractional Functions via the Charnes-Cooper Transformation," Lecture Notes in Economics and Mathematical Systems, in: Generalized Convexity and Related Topics, pages 177-188, Springer.
- Ouayl Chadli & Zaki Chbani & Hassan Riahi, 2007. "Equilibrium Problems Via the Palais-Smale Condition," Lecture Notes in Economics and Mathematical Systems, in: Generalized Convexity and Related Topics, pages 189-207, Springer.
- Giovanni P. Crespi & Ivan Ginchev & Matteo Rocca, 2007. "Points of Efficiency in Vector Optimization with Increasing-along-rays Property and Minty Variational Inequalities," Lecture Notes in Economics and Mathematical Systems, in: Generalized Convexity and Related Topics, pages 209-226, Springer.
- Ivan Ginchev & Angelo Guerraggio & Matteo Rocca, 2007. "Higher Order Properly Efficient Points in Vector Optimization," Lecture Notes in Economics and Mathematical Systems, in: Generalized Convexity and Related Topics, pages 227-245, Springer.
- Ivan Ginchev & Vsevolod I. Ivanov, 2007. "Higher-order Pseudoconvex Functions," Lecture Notes in Economics and Mathematical Systems, in: Generalized Convexity and Related Topics, pages 247-264, Springer.
- Giorgio Giorgi & Bienvenido Jiménez & Vicente Novo, 2007. "Sufficient Optimality Conditions and Duality in Nonsmooth Multiobjective Optimization Problems under Generalized Convexity," Lecture Notes in Economics and Mathematical Systems, in: Generalized Convexity and Related Topics, pages 265-278, Springer.
- César Gutiérrez & Bienvenido Jiménez & Vicente Novo, 2007. "Optimality Conditions for Tanaka’s Approximate Solutions in Vector Optimization," Lecture Notes in Economics and Mathematical Systems, in: Generalized Convexity and Related Topics, pages 279-295, Springer.
- Joachim Gwinner, 2007. "On the Work of W. Oettli in Generalized Convexity and Nonconvex Optimization — a Review and Some Perspectives," Lecture Notes in Economics and Mathematical Systems, in: Generalized Convexity and Related Topics, pages 297-314, Springer.
- Reinhard John, 2007. "Local and Global Consumer Preferences," Lecture Notes in Economics and Mathematical Systems, in: Generalized Convexity and Related Topics, pages 315-325, Springer.
- Davide Torre, 2007. "Optimality Conditions for Convex Vector Functions by Mollified Derivatives," Lecture Notes in Economics and Mathematical Systems, in: Generalized Convexity and Related Topics, pages 327-335, Springer.
- Davide Torre, 2007. "On Arcwise Connected Convex Multifunctions," Lecture Notes in Economics and Mathematical Systems, in: Generalized Convexity and Related Topics, pages 337-345, Springer.
- Laura Martein & Valerio Bertolucci, 2007. "A Sequential Method for a Class of Bicriteria Problems," Lecture Notes in Economics and Mathematical Systems, in: Generalized Convexity and Related Topics, pages 347-358, Springer.
- Mariana Nedelcheva, 2007. "Decomposition of the Measure in the Integral Representation of Piecewise Convex Curves," Lecture Notes in Economics and Mathematical Systems, in: Generalized Convexity and Related Topics, pages 359-377, Springer.
- Huynh Ngai & Jean-Paul Penot, 2007. "Rambling Through Local Versions of Generalized Convex Functions and Generalized Monotone Operators," Lecture Notes in Economics and Mathematical Systems, in: Generalized Convexity and Related Topics, pages 379-397, Springer.
- Jean-Paul Penot, 2007. "Monotonicity and Dualities," Lecture Notes in Economics and Mathematical Systems, in: Generalized Convexity and Related Topics, pages 399-414, Springer.
- Vasile Preda & Miruna Beldiman & Anton Bătătorescu, 2007. "On Variational-like Inequalities with Generalized Monotone Mappings," Lecture Notes in Economics and Mathematical Systems, in: Generalized Convexity and Related Topics, pages 415-431, Springer.
- Tadeusz Radzik & Wojciech Połowczuk, 2007. "Almost Pure Nash Equilibria in Convex Noncooperative Games," Lecture Notes in Economics and Mathematical Systems, in: Generalized Convexity and Related Topics, pages 433-447, Springer.
- Maria Cristina Recchioni, 2007. "A Spectral Approach to Solve Box-constrained Multi-objective Optimization Problems," Lecture Notes in Economics and Mathematical Systems, in: Generalized Convexity and Related Topics, pages 449-469, Springer.
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