A fixed point theorem revisited-Reference-Cited by-同舟云学术

A fixed point theorem revisited

Published:1988 Issue:4 Volume:102 Page:898-900
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Bollenbacher Alberta,Hicks T. L.

Abstract

A version of a theorem commonly referred to as Caristi’s Theorem is given. It has an elementary constructive proof and it includes many generalizations of Banach’s fixed point theorem. Several examples illustrate the diversity that can occur.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1988-102-04/S0002-9939-1988-0934863-2/S0002-9939-1988-0934863-2.pdf

Reference4 articles.

1. Fixed point theorems for mappings satisfying inwardness conditions;Caristi, James;Trans. Amer. Math. Soc.,1976

2. Fixed point theorems on closed sets through abstract cones;Eisenfeld, J.;Appl. Math. Comput.,1977

3. A Banach type fixed-point theorem;Hicks, T. L.;Math. Japon.,1979

4. Contractive definitions revisited;Rhoades, B. E.,1983

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