Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

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J. Korean Math. Soc. 1997; 34(2): 285-291

Printed June 1, 1997

Copyright © The Korean Mathematical Society.

A fixed point theorem revisited

W. A. Kirk and B. G. kang

The University of Iowa and Sungshin Women's University

Abstract

In this paper, we obtain an abstract formulation of a fixed point theorem for nonexpansive mappings. Our theorem is a {\it non-metric } \rm version of Kirk's original theorem.

Keywords: nonexpansive mapping, normal structure, convexity structure, generalized semimetric

MSC numbers: 47H10, 54H25