On asymptotically nonexpansive mappings in hyperconvex metric spaces

M. A. Khamsi

doi:10.1090/S0002-9939-03-07172-7

On asymptotically nonexpansive mappings in hyperconvex metric spaces

M. A. Khamsi

Mathematics

Research output: Contribution to journal › Article › peer-review

36 Scopus citations

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.

Original language	British English
Pages (from-to)	365-373
Number of pages	9
Journal	Proceedings of the American Mathematical Society
Volume	132
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-03-07172-7
State	Published - Feb 2004

Keywords

Asymptotically nonexpansive mappings
Fixed point
Hyperconvex
Nonexpansive mappings

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10.1090/S0002-9939-03-07172-7

Cite this

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On asymptotically nonexpansive mappings in hyperconvex metric spaces

Abstract

Keywords

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