Generalized Equilibrium Problems for Quasimonotone and Pseudomonotone Bifunctions

被引:0
作者
M. Fakhar
J. Zafarani
机构
[1] University of Isfahan,Department of Mathematics
[2] University of Isfahan,Department of Mathematics
来源
Journal of Optimization Theory and Applications | 2004年 / 123卷
关键词
Fan’s KKM lemma; equilibrium problems; pseudomonotone bifunctions; quasimonotone bifunctions; variational inequalities;
D O I
暂无
中图分类号
学科分类号
摘要
By using quasimonotone and pseudomonotone bifunctions, we derive sufficient conditions which include weak coercivity conditions for existence of equilibrium points. As a consequence, we improve some recent results on the existence of such solutions.
引用
收藏
页码:349 / 364
页数:15
相关论文
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  • [1] Br´ezis H.(1972)Generalized Monotone Bifunctions and Equilibrium Problems A Remark on Ky Fan's Minimax Principle, Bolletino della Unione Matematica Italiana 6 293-300
  • [2] Nirenberg L.(1994)Generalizations of the FKKM Theorem and Ky Fan Minimax Inequality with Applications to Maximal Elements, Price Equilibrium, and Complementarity From Optimization and Variational Inequalities to Equilibrium Problems, Mathematics Students 63 123-145
  • [3] Stampacchia G.(1996)Generalization of Ky Fan's Minimax Inequality with Applications to Generalized Variational Inequalities for Pseudomonotone Operators and Fixed-Point Theorem Journal of Optimization Theory and Applications 90 31-43
  • [4] Blum E.(1992)Generalized Variational-Like Inequalities with Pseudomonotone Set-Valued Mappings Journal of Mathematical Analysis and Applications 170 457-471
  • [5] Oettli W.(1996)On Ky Fan's Minimax Inequalities, Mixed Equilibrium Problems, and Hemivariational Inequalities Journal of Mathematical Analysis and Applications 204 910-929
  • [6] Bianchi M.(2000)Variational and Generalized Variational Inequalities with Discontinuous Mappings Archiv der Mathematik 74 302-313
  • [7] Schaible S.(2001)Equilibrium Problems with Generalized Monotone Bifunctions and Applications to Variational Inequalities Journal of Inequalities in Pure and Applied Mathematics 2 1-13
  • [8] Tian G.(1994)Comparison Theorem on Minimax Inequalities, Variational Inequalities, and Fixed-Point Theorems Journal of Mathematical Analysis and Applications 182 371-392
  • [9] Chowdhury M. S. R.(2000)On the Subdifferentials of Quasiconvex and Pseudoconvex Functions and Cyclic Monotonicity Journal of Optimization Theory and Applications 105 299-323
  • [10] Tan K. K.(1983)Coercivity Conditions and Variational Inequalities Journal of the London Mathematical Society 28 555-562