On contractive mappings-Reference-Cited by-同舟云学术

On contractive mappings

Published:1973 Issue:2 Volume:40 Page:604-608
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Geraghty Michael A.

Abstract

The Cauchy condition for convergence of a contractive iteration in a complete metric space is replaced by an equivalent functional condition. Many generalizations of the Banach-Neumann contractive mapping principle follow.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1973-040-02/S0002-9939-1973-0334176-5/S0002-9939-1973-0334176-5.pdf

Reference4 articles.

1. A note on contractive mappings;Rakotch, E.;Proc. Amer. Math. Soc.,1962

2. On Lipschitz structures;Geraghty, Michael A.;J. Math. Anal. Appl.,1965

3. On nonlinear contractions;Boyd, D. W.;Proc. Amer. Math. Soc.,1969

4. Mappings of contractive type on abstract spaces;Wong, James S. W.;J. Math. Anal. Appl.,1972

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