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.
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页码：73 / 79
页数：7
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