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A PURELY METRIC PROOF OF THE CARISTI FIXED POINT THEOREM

Part of: Nonlinear operators and their properties

Published online by Cambridge University Press:  02 November 2016

WOJCIECH M. KOZLOWSKI
WOJCIECH M. KOZLOWSKI*
Affiliation:
School of Mathematics and Statistics, University of New South Wales, Sydney, NSW 2052, Australia email w.m.kozlowski@unsw.edu.au
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Abstract

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In this paper we prove Caristi’s fixed point theorem using only purely metric techniques.

Keywords

fixed pointCaristi fixed point theoremnonexpansive mappingcontraction

MSC classification

Primary: 47H09: Contraction-type mappings, nonexpansive mappings, $A$-proper mappings, etc.
Secondary: 47H10: Fixed-point theorems
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 95 , Issue 2 , April 2017 , pp. 333 - 337
Copyright
© 2016 Australian Mathematical Publishing Association Inc. 

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