Existence of solutions for quasi-equilibrium problems in noncompact topological spaces

被引：53

作者：

Ding, XP ^{[1
]}

机构：

[1] Sichuan Normal Univ, Dept Math, Chengdu 610066, Sichuan, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2000年 / 39卷 / 3-4期

基金：

中国国家自然科学基金;

关键词：

fixed point; quasi-equilibrium problem; compactly local intersection property; topological space;

D O I：

10.1016/S0898-1221(99)00329-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a new Fan-Browder type fixed-point theorem is proved under noncompact setting of general topological spaces. By applying the fixed-point theorem, several new existence theorems of solutions for quasi-equilibrium problems are proved under noncompact setting of topological spaces. These theorems improve and generalize a number of important known results in literature. (C) 2000 Elsevier Science Ltd. All rights reserved.

引用

页码：13 / 21

页数：9

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