A New Fixed Point Theorem in Noncompact L-Convex Metric Spaces with Applications to Minimax Inequalities and Saddle Points
Received:March 18, 2009  Revised:September 15, 2009
Key Words: L-convex metric space   fixed point   maximal element   minimax inequality   saddle point.  
Fund Project:Supported by the Natural Science Research Foundation of Guizhou Provincial Education Department (Grant No.2008072) and the Natural Science Foundation of Science and Technology Bureau of Bijie Area (Grant No.2008-06).
Author NameAffiliation
Kai Ting WEN Department of Mathematics, Bijie University, Guizhou 551700, P. R. China 
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Abstract:
      In this paper, a new fixed point theorem is established in noncompact complete L-convex metric spaces. As applications, a maximal element theorem, a minimax inequality and a saddle point theorem are obtained.
Citation:
DOI:10.3770/j.issn:1000-341X.2011.02.017
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