A New Fixed Point Theorem in Noncompact Hyperconvex Metric Spaces and Its Application to Saddle Point Problems
Received:April 28, 2006  Revised:January 16, 2007
Key Words: hyperconvex metric space   sub-admissible set   fixed point   continuous selection   maximal element   minimax inequality   saddle point.  
Fund Project:the Scientific Research Foundation of Bijie University (No. 20062002).
Author NameAffiliation
WEN Kai-ting Department of Mathematics, Bijie University, Guizhou 551700, China 
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Abstract:
      In this paper, a new fixed point theorem is established in noncompact hyperconvex metric spaces. As applications, a continuous selection and its fixed point theorem, an existence theorem for maximal elements, a Ky Fan minimax inequality and an existence theorem for saddle points are obtained.
Citation:
DOI:10.3770/j.issn:1000-341X.2008.01.021
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