Open Access

Demiclosed Principle for Asymptotically Nonexpansive Mappings in CAT(0) Spaces

Fixed Point Theory and Applications20102010:268780

https://doi.org/10.1155/2010/268780

Received: 21 August 2009

Accepted: 18 January 2010

Published: 21 January 2010

Abstract

We prove the demiclosed principle for asymptotically nonexpansive mappings in CAT(0) spaces. As a consequence, we obtain a -convergence theorem of the Krasnosel'skii-Mann iteration for asymptotically nonexpansive mappings in this setting. Our results extend and improve many results in the literature.

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Authors’ Affiliations

(1)
Department of Mathematics, Faculty of Science, Chiang Mai University

Copyright

© B. Nanjaras and B. Panyanak. 2010

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.