数学物理学报 ›› 2011, Vol. 31 ›› Issue (4): 1077-1082.

• 论文 • 上一篇    下一篇

MLC映射的Ky Fan匹配定理及其对极大极小不等式和鞍点的应用

文开庭, 李和睿, 曾凡培   

  1. 毕节学院计算机科学系 贵州毕节 |551700
  • 收稿日期:2009-01-26 修回日期:2010-10-28 出版日期:2011-08-25 发布日期:2011-08-25
  • 基金资助:

    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

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

摘要:

在非紧完备L -凸度量空间中建立了转移紧开值MLC映射的Ky Fan匹配定理, 作为应用, 获得了Fan-Browder型重合定理、极大元定理、极大极小不等式和鞍点定理.

关键词: L-凸度量空间, 匹配, 极大元, 极大极小不等式, 鞍点

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

中图分类号: 

  • 47H04