FC-度量空间中的R-KKM定理及其对变分不等式和不动点的应用  

R-KKM Theorems in FC-Metric Spaces with Applications to Variational Inequalities and Fixed Points

作　　者：文开庭[1] 

机构地区：[1]毕节学院数学系,毕节551700

出　　处：《应用泛函分析学报》2010年第3期266-273,共8页Acta Analysis Functionalis Applicata

基　　金：贵州省教育厅重点资助项目(2008072);毕节地区科技局经费资助项目(2008-06)

摘　　要：引入了FC-度量空间,建立了非紧FC-度量空间中的R-KKM定理.作为应用,研究了非紧FC-度量空间中的变分不等式的解集、相交点集、Ky Fan截口和极大元集的性质,获得了FC-度量空间中的Fan-Browder不动点定理.In this paper,the FC-metric space is introduced and an R-KKM theorem is established for noncompact FC-metric spaces.As applications,the properties of the solution set of variational inequalities,intersection point set,Ky Fan section and the maximal element set are shown,and a Fan-Browder fixed point theorem in FC-metric spaces is obtained.

关 键 词：FC-度量空间 R-KKM映射 转移紧开(闭) 变分不等式 不动点 

分 类 号：O177.91[理学—数学]