Existence results for nonconvex equilibrium problems

被引：26

作者：

Castellani, Marco ^{[2
]}

Pappalardo, Massimo ^{[1
]}

Passacantando, Mauro ^{[1
]}

机构：

[1] Univ Pisa, Dept Appl Math, Pisa, Italy

[2] Univ Aquila, Dept SIE, I-67100 Laquila, Italy

来源：

OPTIMIZATION METHODS & SOFTWARE | 2010年 / 25卷 / 01期

关键词：

equilibrium problems; generalized semicontinuity; coercivity conditions; EKELANDS VARIATIONAL PRINCIPLE; THEOREMS;

D O I：

10.1080/10556780903151557

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

In this paper, we establish sufficient conditions for the existence of solutions of equilibrium problems in a metric space, that do not involve any convexity assumption either for the domain or for the function. To prove these results, a weak notion of semicontinuity is considered. Furthermore, some existence results for systems of equilibrium problems are provided.

引用

页码：49 / 58

页数：10

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