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Maximal Element Theorems with Applications to Generalized Games and Systems of Generalized Vector Quasi-Equilibrium Problems in G-Convex Spaces

Author

Listed:
  • X. P. Ding

    (Sichuan Normal University)

  • J. C. Yao

    (National Sun Yat-Sen University)

Abstract

By applying the maximal element theorems on product of G-convex spaces due to the first author, some equilibrium existence theorems for generalized games with fuzzy constraint correspondences are proved in G-convex spaces. As applications, some existence theorems of solutions for the system of generalized vector quasiequilibrium problem are established in noncompact product of G-convex spaces. Our results improve and generalize some recent results in the literature to product of G-convex spaces.

Suggested Citation

  • X. P. Ding & J. C. Yao, 2005. "Maximal Element Theorems with Applications to Generalized Games and Systems of Generalized Vector Quasi-Equilibrium Problems in G-Convex Spaces," Journal of Optimization Theory and Applications, Springer, vol. 126(3), pages 571-588, September.
    • Handle: RePEc:spr:joptap:v:126:y:2005:i:3:d:10.1007_s10957-005-5498-0
    DOI: 10.1007/s10957-005-5498-0
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    Cited by:

    1. Xie Ding, 2010. "New systems of generalized vector quasi-equilibrium problems in product FC-spaces," Journal of Global Optimization, Springer, vol. 46(1), pages 133-146, January.

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