Acta mathematica scientia,Series A

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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

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.

CLC Number: 

  • 41A50
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