A GLKKM Type Theorem for Noncompact Complete L-Convex Metric Spaces with Applications to Variational Inequalities and Fixed Points  

作　　者：WEN Kai Ting 

机构地区：[1]Department of Mathematics, Bijie University, Guizhou 551700, China

出　　处：《Journal of Mathematical Research and Exposition》2009年第1期19-27,共9页数学研究与评论（英文版）

基　　金：Foundation item： the Natural Science Research Foundation of Guizhou Provincial Education Department （No. 2008072）; the Natural Science Foundation of Science and Technologe Bureau of Bijie Area （No. 2008-06）.

摘　　要：In this paper,a new GLKKM type theorem is established for noncompact complete L-convex metric spaces.As applications,the properties of the solution set of variational in-equalities,intersection point sets,Ky Fan sections and maximal element sets are shown,and a Fan-Browder fixed point theorem is obtained.In this paper, a new GLKKM type theorem is established for noncompact complete L-convex metric spaces. As applications, the properties of the solution set of variational in- equalities, intersection point sets, Ky Fan sections and maximal element sets are shown, and a Fan-Browder fixed point theorem is obtained.

关 键 词：L-convex metric space noncompact measure transfer compactly open （closed） 4variational inequality section maximal element fixed point. 

分 类 号：O177.91[理学—数学]