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

作     者：WEN Kai Ting 

作者机构：Department of Mathematics Bijie University Guizhou 551700 China 

出 版 物：《Journal of Mathematical Research and Exposition》 (数学研究与评论（英文版）)

年 卷 期：2009年第29卷第1期

页      面：19-27页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

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) 

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

摘      要：In this paper,a new GLKKM type theorem is established for noncompact complete L-convex metric *** 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.