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Generalized vector equilibrium problems with set-valued mappings

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  • Jun-Yi Fu
  • An-Hua Wan

Abstract

In this paper, we introduce a more general form of vector equilibrium problems with a moving ordering cone and set-valued mappings, and obtain some existence theorems for generalized vector equilibrium problems, which extend and unify some existence results for similar problems. Copyright Springer-Verlag Berlin Heidelberg 2002

Suggested Citation

  • Jun-Yi Fu & An-Hua Wan, 2002. "Generalized vector equilibrium problems with set-valued mappings," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 56(2), pages 259-268, November.
    • Handle: RePEc:spr:mathme:v:56:y:2002:i:2:p:259-268
    DOI: 10.1007/s001860200208
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    Citations

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    Cited by:

    1. Lai-Jiu Lin & Qamrul Ansari & Yu-Jen Huang, 2007. "Some existence results for solutions of generalized vector quasi-equilibrium problems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 65(1), pages 85-98, February.
    2. P. H. Sach, 2008. "On a Class of Generalized Vector Quasiequilibrium Problems with Set-Valued Maps," Journal of Optimization Theory and Applications, Springer, vol. 139(2), pages 337-350, November.
    3. 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.
    4. L. Q. Anh & P. Q. Khanh, 2007. "On the Stability of the Solution Sets of General Multivalued Vector Quasiequilibrium Problems," Journal of Optimization Theory and Applications, Springer, vol. 135(2), pages 271-284, November.
    5. 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.
    6. M. Balaj & L. J. Lin, 2013. "Existence Criteria for the Solutions of Two Types of Variational Relation Problems," Journal of Optimization Theory and Applications, Springer, vol. 156(2), pages 232-246, February.
    7. N. X. Hai & P. Q. Khanh, 2007. "Existence of Solutions to General Quasiequilibrium Problems and Applications," Journal of Optimization Theory and Applications, Springer, vol. 133(3), pages 317-327, June.
    8. Mircea Balaj, 2021. "Intersection theorems for generalized weak KKM set‐valued mappings with applications in optimization," Mathematische Nachrichten, Wiley Blackwell, vol. 294(7), pages 1262-1276, July.
    9. Adela Elisabeta Capătă, 2024. "Generalized Vector Quasi-Equilibrium Problems," Mathematics, MDPI, vol. 12(6), pages 1-14, March.
    10. Nicole Bäauerle & Ulrich Rieder, 2017. "Partially Observable Risk-Sensitive Markov Decision Processes," Mathematics of Operations Research, INFORMS, vol. 42(4), pages 1180-1196, November.
    11. E. E. A. Batista & G. C. Bento & O. P. Ferreira, 2015. "An Existence Result for the Generalized Vector Equilibrium Problem on Hadamard Manifolds," Journal of Optimization Theory and Applications, Springer, vol. 167(2), pages 550-557, November.

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