On asymptotically nonexpansive mappings in hyperconvex metric spaces-Reference-Cited by-同舟云学术

On asymptotically nonexpansive mappings in hyperconvex metric spaces

Published:2003-08-28 Issue:2 Volume:132 Page:365-373
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Khamsi M.

Abstract

Since bounded hyperconvex metric spaces have the fixed point property for nonexpansive mappings, it is natural to extend such a powerful result to asymptotically nonexpansive mappings. Our main result states that the approximate fixed point property holds in this case. The proof is based on the use, for the first time, of the ultrapower of a metric space.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2004-132-02/S0002-9939-03-07172-7/S0002-9939-03-07172-7.pdf

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