拓扑空间上的KKM定理,不动点定理,广义变分不等式  

KKM THEOREMS,FIXED POINT THEOREMS,GENERALIZED VARIATIONAL INEQUALITIES ON TOPOLOGICAL SPACES

作　　者：朴勇杰[1] 

机构地区：[1]延边大学理学院数学系,延吉133002

出　　处：《系统科学与数学》2009年第7期914-924,共11页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(10361005);延边大学科研项目(2008;No.6)资助课题

摘　　要：引进没有任何凸结构的拓扑空间上的广义R-KKM映射的定义并利用古典的KKM原理得到一般拓扑空间上的KKM型定理以及若干个变形结果,然后作为应用给出了非紧的拓扑空间上不动点定理和广义变分不等式解的存在性定理。The aim in this paper is to introduce the generalized R-KKM mapping in topological space without any convexity structure, and to use classical KKM principle to obtain KKM type theorems and their variant forms in general topological spaces. Then some fixed point theorems and existence theorem of solution for generalized variational inequality on noncompact general topological spaces as applications are given.

关 键 词：R-KKM映射 R-子集 转移开[闭]映射 上半连续 广义变分不等式 

分 类 号：O177.91[理学—数学]