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

被引：0
|
作者：
Lei Deng
Xiao-yan Zang
机构：
[1] Southwest University,School of Mathematics and Statistics
来源：
Applied Mathematics and Mechanics | 2009年 / 30卷
关键词：
-subspace; -parametric-quasiconvex mapping; minimax inequality; O177.92; 54C60; 54H25;
D O I：
暂无
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学科分类号：
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.
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页码：73 / 79
页数：6
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