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2008 GENERALIZED KKM THEOREMS ON HYPERCONVEX METRIC SPACES WITH APPLICATIONS
Tong-Huei Chang, Chi-Ming Chen, Huwi-Ching Huang
Taiwanese J. Math. 12(9): 2363-2372 (2008). DOI: 10.11650/twjm/1500405184

Abstract

In this work, we establish a generalized KKM theorem in a hyperconvex metric space, and then we use this theorem to get a fixed point theorem, the matching theorem, the coincidence theorem, minimax inequality theorems and the variational inequality theorems.

Citation

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Tong-Huei Chang. Chi-Ming Chen. Huwi-Ching Huang. "GENERALIZED KKM THEOREMS ON HYPERCONVEX METRIC SPACES WITH APPLICATIONS." Taiwanese J. Math. 12 (9) 2363 - 2372, 2008. https://doi.org/10.11650/twjm/1500405184

Information

Published: 2008
First available in Project Euclid: 18 July 2017

zbMATH: 1177.54023
MathSciNet: MR2479060
Digital Object Identifier: 10.11650/twjm/1500405184

Subjects:
Primary: 47H10 , 54H25

Keywords: $KKM$ theorem , coincidence theorem , hyperconvex metric space , minimax inequality theorem , variational inequality theorem

Rights: Copyright © 2008 The Mathematical Society of the Republic of China

Vol.12 • No. 9 • 2008
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