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

Fixed Point Theory and Applications volume 2010, Article number: 268780 (2010) Cite this article

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

    B Nanjaras & B Panyanak

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  1. B Nanjaras
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  2. B Panyanak
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Correspondence to B Panyanak.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Nanjaras, B., Panyanak, B. Demiclosed Principle for Asymptotically Nonexpansive Mappings in CAT(0) Spaces. Fixed Point Theory Appl 2010, 268780 (2010). https://doi.org/10.1155/2010/268780

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

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