Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (4): 1077-1082.

• Articles • Previous Articles     Next Articles

A Ky Fan Matching Theorem for MLC Mappings with Applications to Minimax Inequalities and Saddle Points

 WEN Kai-Ting, LI He-Rui, ZENG Fan-Pei   

  1. Department of Computer Science, |Bijie University, Guizhou |Bijie 551700
  • Received:2009-01-26 Revised:2010-10-28 Online:2011-08-25 Published:2011-08-25
  • Supported by:

    贵州省教育厅自然科学研究重点项目(2008072)和毕节学院重点科研项目(20092010)资助

Abstract:

In this paper, a Ky Fan matching theorem for MLC mappings with transfer compactly open values is established in noncompact complete L-convex metric spaces. As applications, a Fan-Browder type coincidence theorem, a maximal element theorem, a minimax inequality and a saddle point theorem are obtained.

Key words: L-convex metric space, Matching, Maximal element, Minimax inequality, Saddle point

CLC Number: 

  • 47H04
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