A parametric type of KKM theorem in FC-spaces with applications

被引：0

作者：

邓磊 ^{[1
]}

臧小燕 ^{[1
]}

机构：

[1] School of Mathematics and Statistics, Southwest University,Chongqing 400715, P. R. China

来源：

AppliedMathematicsandMechanics(EnglishEdition) | 2009年 / 30卷 / 01期

基金：

中国国家自然科学基金;

关键词：

FC-subspace; FC-parametric-quasiconvex mapping; minimax inequality;

D O I：

暂无

中图分类号：

O177 [泛函分析];

学科分类号：

070104 ;

摘要：

The paper first proves a characteristic property in FC-spaces. By the use of the connectedness of sets, a parametric type of KKM theorem is then established in noncompact FC-spaces by introducing a linear ordered space. As a consequence, some recent results, such as noncompact minimax inequalities, saddle point theorem, and section theorem, are improved. The results generalize the corresponding results in the literatures.

引用

页码：73 / 79

页数：7

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