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.
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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). |
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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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