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This article is part of the series Impact of Kirk's Results on the Development of Fixed Point Theory.

Open Access Open Badges Research Article

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

B Nanjaras and B Panyanak*

Author Affiliations

Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand

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Fixed Point Theory and Applications 2010, 2010:268780  doi:10.1155/2010/268780

The electronic version of this article is the complete one and can be found online at: http://www.fixedpointtheoryandapplications.com/content/2010/1/268780

Received:21 August 2009
Accepted:18 January 2010
Published:21 January 2010

© 2010 The Author(s).

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.


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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