A New Fixed Point Theorem in Noncompact L-Convex Metric Spaces with Applications to Minimax Inequalities and Saddle Points  被引量:9

A New Fixed Point Theorem in Noncompact L-Convex Metric Spaces with Applications to Minimax Inequalities and Saddle Points

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作  者:Kai Ting WEN 

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

出  处:《Journal of Mathematical Research and Exposition》2011年第2期330-336,共7页数学研究与评论(英文版)

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

摘  要:In this paper,a new fixed point theorem is established in noncompact complete Lconvex metric spaces.As applications,a maximal element theorem,a minimax inequality and a saddle point theorem are obtained.In this paper,a new fixed point theorem is established in noncompact complete Lconvex metric spaces.As applications,a maximal element theorem,a minimax inequality and a saddle point theorem are obtained.

关 键 词:L-convex metric space fixed point maximal element minimax inequality saddle point 

分 类 号:O177.91[理学—数学]

 

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