Generalized monotone bifunctions and equilibrium problems

被引：341

作者：

Bianchi, M ^{[1
]}

Schaible, S ^{[1
]}

机构：

[1] UNIV CALIF RIVERSIDE,GRAD SCH MANAGEMENT,RIVERSIDE,CA 92521

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1996年 / 90卷 / 01期

关键词：

generalized monotonicity; equilibrium problems; variational inequality problems; existence of solutions; uniqueness;

D O I：

10.1007/BF02192244

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：

Using quasimonotone and pseudomonotone bifunctions, we derive existence results for the following equilibrium problem: given a closed and convex subset K of a real topological vector space, find (x) over bar is an element of K such that F((x) over bar, y) greater than or equal to 0 for all y is an element of K. In addition, we study the solution set and the uniqueness of a solution. The paper generalizes results obtained recently for variational inequalities.

引用

页码：31 / 43

页数：13

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