A GLKKM Type Theorem for Noncompact Complete $L$-Convex Metric Spaces with Applications to Variational Inequalities and Fixed Points
Received:December 24, 2006  Revised:May 25, 2007
Key Words: $L$-convex metric space   noncompact measure   transfer compactly open (closed)   variational inequality   section   maximal element   fixed point.  
Fund Project: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).
Author NameAffiliation
WEN Kai Ting Department of Mathematics, Bijie University, Guizhou 551700, China 
Hits: 7875
Download times: 2601
Abstract:
      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 inequalities, intersection point sets, Ky Fan sections and maximal element sets are shown, and a Fan-Browder fixed point theorem is obtained.
Citation:
DOI:10.3770/j.issn:1000-341X.2009.01.003
View Full Text  View/Add Comment  
  Copyright © Journal of Mathematical Research with Applications
Sponsored by：Dalian University of Technology, China Society for Industrial and Applied Mathematics
Address：No.2 Linggong Road, Ganjingzi District, Dalian City, Liaoning Province, P. R. China , Postal code ：116024
Service Tel：86-411-84707392 Email：jmre@dlut.edu.cn
Designed by Beijing E-tiller Co.,Ltd.
Due to security factors, early browsers cannot log in. It is recommended to log in with IE10, IE11, Google, Firefox, and 360 new browsers.