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.
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）.
关键词
非线性
泛函分析
线性拓扑空间
研究
L-convex metric space
noncompact measure
transfer compactly open （closed）
4variational inequality
section
maximal element
fixed point.
