Publication Cover
Applicable Analysis
An International Journal
Volume 9, 1979 - Issue 2
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Original Articles

Fixed point theorem for non-expansive mappings on banach spaces with uniformly normal structure

Pages 121-124 | Published online: 10 May 2007
 

Abstract

In this paper we replace uniformly convex (or reflexive and normal structure) as required by Browder and Kirk, by uniformly normal structure to obtain a fixed point theorem for non-expansive self mappings. Examples are given to show that spaces with uniformly normal structure are not all uniformly convex and spaces with normal structure do not all have uniformly normal structure.

AMS (MOS) subject classification (1970) Primary 47410.

Additional information

Notes on contributors

A. A. Gillespie

B. B. Williams

V. Lakshmikantham

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