Equilibrium problems with applications to eigenvalue problems

被引：69

作者：

Chadli, O ^{[1
]}

Wong, NC

Yao, JC

机构：

[1] Univ Ibn Zohr, Ctr Etud Econ, Rectorat, Agadir, Morocco

[2] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2003年 / 117卷 / 02期

关键词：

equilibrium problems; bifunctions; (S)(+) condition; general nonlinear variational inequalities; generalized variational inequalities; eigenvalue problems;

D O I：

10.1023/A:1023627606067

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we consider equilibrium problems and introduce the concept of (S)(+) condition for bifunctions. Existence results for equilibrium problems with the (S)(+) condition are derived. As special cases, we obtain several existence results for the generalized nonlinear variational inequality studied by Ding and Tarafdar (Ref. 1) and the generalized variational inequality studied by Cubiotti and Yao (Ref. 2). Finally, applications to a class of eigenvalue problems are given.

引用

页码：245 / 266

页数：22

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