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 results in the lite...

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Main Authors:	Nanjaras,B., Panyanak,B.
Format:	Article
Published:	Springer Publishing Company 2015
Subjects:	Geometry and Topology Applied Mathematics
Online Access:	http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=78149279876&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38586
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-38586
record_format	dspace
spelling	th-cmuir.6653943832-385862015-06-16T07:53:26Z Demiclosed Principle for Asymptotically Nonexpansive Mappings in CAT(0) Spaces Nanjaras,B. Panyanak,B. Geometry and Topology Applied Mathematics 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. Copyright © 2010 B. Nanjaras and B. Panyanak. 2015-06-16T07:53:26Z 2015-06-16T07:53:26Z 2010-01-01 Article 16871820 2-s2.0-78149279876 10.1155/2010/268780 http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=78149279876&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38586 Springer Publishing Company
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Geometry and Topology Applied Mathematics
spellingShingle	Geometry and Topology Applied Mathematics Nanjaras,B. Panyanak,B. Demiclosed Principle for Asymptotically Nonexpansive Mappings in CAT(0) Spaces
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. Copyright © 2010 B. Nanjaras and B. Panyanak.
format	Article
author	Nanjaras,B. Panyanak,B.
author_facet	Nanjaras,B. Panyanak,B.
author_sort	Nanjaras,B.
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	Springer Publishing Company
publishDate	2015
url	http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=78149279876&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38586
_version_	1681421500520857600

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

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