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

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

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

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Main Authors: B. Nanjaras, B. Panyanak
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/2010/268780
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spelling doaj-43ee0eaa3ed8473fb538bfdc356757922020-11-25T01:37:48ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122010-01-01201010.1155/2010/268780Demiclosed Principle for Asymptotically Nonexpansive Mappings in CAT(0) SpacesB. NanjarasB. PanyanakWe prove the demiclosed principle for asymptotically nonexpansive mappings in CAT(0) spaces. As a consequence, we obtain a Δ-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. http://dx.doi.org/10.1155/2010/268780
collection DOAJ
language English
format Article
sources DOAJ
author B. Nanjaras
B. Panyanak
spellingShingle B. Nanjaras
B. Panyanak
Demiclosed Principle for Asymptotically Nonexpansive Mappings in CAT(0) Spaces
Fixed Point Theory and Applications
author_facet B. Nanjaras
B. Panyanak
author_sort B. Nanjaras
title Demiclosed Principle for Asymptotically Nonexpansive Mappings in CAT(0) Spaces
title_short Demiclosed Principle for Asymptotically Nonexpansive Mappings in CAT(0) Spaces
title_full Demiclosed Principle for Asymptotically Nonexpansive Mappings in CAT(0) Spaces
title_fullStr Demiclosed Principle for Asymptotically Nonexpansive Mappings in CAT(0) Spaces
title_full_unstemmed Demiclosed Principle for Asymptotically Nonexpansive Mappings in CAT(0) Spaces
title_sort demiclosed principle for asymptotically nonexpansive mappings in cat(0) spaces
publisher SpringerOpen
series Fixed Point Theory and Applications
issn 1687-1820
1687-1812
publishDate 2010-01-01
description We prove the demiclosed principle for asymptotically nonexpansive mappings in CAT(0) spaces. As a consequence, we obtain a Δ-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.
url http://dx.doi.org/10.1155/2010/268780
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AT bpanyanak demiclosedprincipleforasymptoticallynonexpansivemappingsincat0spaces
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