An existence result for a class of extended inclusion problems with applications to equilibrium problems

被引：0

作者：

Fang, Y. P. ^{[1
]}

Huang, N. J. ^{[1
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

来源：

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2006年 / 25卷 / 02期

关键词：

extended inclusion problem; equilibrium problem; variational inequality; existence;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X be a real reflexive Banach space, K subset of X a nonempty, closed and convex set, and F : K x K -> 2(X) (the family of all the subsets of X) be a multi-valued mapping. In this paper, we consider the following extended inclusion problem: find x* is an element of K such that K subset of F(x*, x*). Under suitable conditions, we establish an existence result for the extended inclusion problem. As applications, we give some existence theorems for equilibrium problems.

引用

页码：257 / 264

页数：8

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