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

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

Wen Kaiting

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

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

Wen Kaiting. A KY FAN MATCHING THEOREM FOR TRANSFER COMPACTLY OPEN COVERS AND THE APPLICATION TO THE FIXED POINT[J].Acta mathematica scientia,Series A, 2006, 26(6): 1159-.

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

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