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J. Korean Math. Soc. 2004; 41(2): 243-248

Printed March 1, 2004

Copyright © The Korean Mathematical Society.

Fixed-point theory for $k$-set contraction

Chi-Ming Chen, Tong-Huei Chang, and Chi-Lin Yen

National Hsinchu Teacher's College, National Hsinchu Teacher's College, National Hsinchu Teacher's College

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Abstract

In this note, we get some generalized KKM theorems for the $k$-set contraction mapping on the nearly-convex sets.

Keywords: KKM mapping, $k$-set contraction, fixed point theorem

MSC numbers: 47H10, 54H25

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