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A KY FAN MATCHING THEOREM FOR TRANSFER COMPACTLY OPEN COVERS
AND THE APPLICATION TO THE FIXED POINT

文开庭   

  1. 比节学院数学系, 比节 551700
  • 收稿日期:2005-12-08 修回日期:1900-01-01 出版日期:2006-12-25 发布日期:2006-12-25
  • 通讯作者: 文开庭
  • 基金资助:
    This work is supported by the Scientific Research Foundation of Bijie University.

A KY FAN MATCHING THEOREM FOR TRANSFER COMPACTLY OPEN COVERS AND THE APPLICATION TO THE FIXED POINT

Wen Kaiting   

  1. Department of Mathematics, Bijie University, Bijie, Guizhou 551700, China
  • Received:2005-12-08 Revised:1900-01-01 Online:2006-12-25 Published:2006-12-25
  • Contact: Wen Kaiting

摘要: In this article, a Ky Fan matching theorem for transfer compactly open covers is established. As applications, a Fan-Browder coincidence theorem, a Ky Fan best approximation theorem and a Brouwer-Schauder-Rothe type fixed point theorem are obtained.

关键词: Hyperconvex metric space, Transfer compactly open covers, Matching, Coincidence, Best approximation, Fixed point.

Abstract: In this article, a Ky Fan matching theorem for transfer compactly open covers is established. As applications, a Fan-Browder coincidence theorem, a Ky Fan best approximation theorem and a Brouwer-Schauder-Rothe type fixed point theorem are obtained.

Key words: Hyperconvex metric space, Transfer compactly open covers, Matching, Coincidence, Best approximation, Fixed point.

中图分类号: 

  • 41A50