KKM Theorems on FC-spaces with Their Applications to Variational Inequalities

被引：1

作者：

PIAO YONGJIE Department of MathematicsScience CollegeYanbian UniversityYanjiJilin ^{[133002
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机构：

来源：

CommunicationsinMathematicalResearch | 2009年 / 25卷 / 03期

关键词：

FC-space; FC-subspace; KKM map; lower semicontinuous; variational inequality;

D O I：

10.13447/j.1674-5647.2009.03.003

中图分类号：

O177.91 [非线性泛函分析];

学科分类号：

070104 ;

摘要：

<正>A new concept of finitely continuous topological spaces(in short,FC-space) without convexity structure and linear structure was introduced.Some KKM type theorems in noncompact FC-spaces were obtained,and from which,some section theorems and variational inequality theorems were proved under much weak assumptions. Our results improve and generalize the corresponding conclusions in recent literature.

引用

页码：213 / 222

页数：10

共 7 条

[1] 乘积拓扑空间内的重合点组定理及应用(Ⅰ) [J].