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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

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