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  • Research Article
  • 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:

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.

Keywords

  • Differential Geometry
  • Nonexpansive Mapping
  • Computational Biology
  • Full Article
  • Publisher Note

Publisher note

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Authors’ Affiliations

(1)
Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai, 50200, Thailand

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.

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