Monotone hybrid projection algorithms for an infinitely countable family of lipschitz generalized asymptotically quasi-nonexpansive mappings

Monotone hybrid projection algorithms for an infinitely countable family of lipschitz generalized asymptotically quasi-nonexpansive mappings

We prove a weak convergence theorem of the modified Mann iteration process for a uniformly Lipschitzian and generalized asymptotically quasi-nonexpansive mapping in a uniformly convex Banach space. We also introduce two kinds of new monotone hybrid methods and obtain strong convergence theorems for...

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Main Authors: Suantai S., Cholamjiak W.
Format: Article
Language:English
Published: 2014
Online Access:http://www.scopus.com/inward/record.url?eid=2-s2.0-74849116696&partnerID=40&md5=372b86d23d215f6f63e8788fa9bd0c3d
http://cmuir.cmu.ac.th/handle/6653943832/5740
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Institution: Chiang Mai University
Language: English
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spelling th-cmuir.6653943832-57402014-08-30T03:23:24Z Monotone hybrid projection algorithms for an infinitely countable family of lipschitz generalized asymptotically quasi-nonexpansive mappings Suantai S. Cholamjiak W. We prove a weak convergence theorem of the modified Mann iteration process for a uniformly Lipschitzian and generalized asymptotically quasi-nonexpansive mapping in a uniformly convex Banach space. We also introduce two kinds of new monotone hybrid methods and obtain strong convergence theorems for an infinitely countable family of uniformly Lipschitzian and generalized asymptotically quasi-nonexpansive mappings in a Hilbert space. The results improve and extend the corresponding ones announced by Kim and Xu (2006) and Nakajo and Takahashi (2003). © 2009 W. Cholamjiak and S. Suantai. 2014-08-30T03:23:24Z 2014-08-30T03:23:24Z 2009 Article 10853375 10.1155/2009/297565 http://www.scopus.com/inward/record.url?eid=2-s2.0-74849116696&partnerID=40&md5=372b86d23d215f6f63e8788fa9bd0c3d http://cmuir.cmu.ac.th/handle/6653943832/5740 English
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
language English
description We prove a weak convergence theorem of the modified Mann iteration process for a uniformly Lipschitzian and generalized asymptotically quasi-nonexpansive mapping in a uniformly convex Banach space. We also introduce two kinds of new monotone hybrid methods and obtain strong convergence theorems for an infinitely countable family of uniformly Lipschitzian and generalized asymptotically quasi-nonexpansive mappings in a Hilbert space. The results improve and extend the corresponding ones announced by Kim and Xu (2006) and Nakajo and Takahashi (2003). © 2009 W. Cholamjiak and S. Suantai.
format Article
author Suantai S.
Cholamjiak W.
spellingShingle Suantai S.
Cholamjiak W.
Monotone hybrid projection algorithms for an infinitely countable family of lipschitz generalized asymptotically quasi-nonexpansive mappings
author_facet Suantai S.
Cholamjiak W.
author_sort Suantai S.
title Monotone hybrid projection algorithms for an infinitely countable family of lipschitz generalized asymptotically quasi-nonexpansive mappings
title_short Monotone hybrid projection algorithms for an infinitely countable family of lipschitz generalized asymptotically quasi-nonexpansive mappings
title_full Monotone hybrid projection algorithms for an infinitely countable family of lipschitz generalized asymptotically quasi-nonexpansive mappings
title_fullStr Monotone hybrid projection algorithms for an infinitely countable family of lipschitz generalized asymptotically quasi-nonexpansive mappings
title_full_unstemmed Monotone hybrid projection algorithms for an infinitely countable family of lipschitz generalized asymptotically quasi-nonexpansive mappings
title_sort monotone hybrid projection algorithms for an infinitely countable family of lipschitz generalized asymptotically quasi-nonexpansive mappings
publishDate 2014
url http://www.scopus.com/inward/record.url?eid=2-s2.0-74849116696&partnerID=40&md5=372b86d23d215f6f63e8788fa9bd0c3d
http://cmuir.cmu.ac.th/handle/6653943832/5740
_version_ 1681420482607316992

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