Convergence theorems from monotone hybrid methods for an infinitely countable family of Lipschitz asymptotically quasi-nonexpansive mappings

Convergence theorems from monotone hybrid methods for an infinitely countable family of Lipschitz asymptotically quasi-nonexpansive mappings

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

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Main Authors: Cholamjiak W., Suantai S.
Format: Article
Language:English
Published: 2014
Online Access:http://www.scopus.com/inward/record.url?eid=2-s2.0-77955589557&partnerID=40&md5=7dd2a58f0fd3bf3153ff851d380444b2
http://cmuir.cmu.ac.th/handle/6653943832/6227
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Institution: Chiang Mai University
Language: English
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spelling th-cmuir.6653943832-62272014-08-30T03:23:59Z Convergence theorems from monotone hybrid methods for an infinitely countable family of Lipschitz asymptotically quasi-nonexpansive mappings Cholamjiak W. Suantai S. In this paper, we prove a weak convergence theorem for the modified Mann iteration process for a uniformly Lipschitzian and asymptotically quasi-nonexpansive mapping in a uniformly convex Banach space. We also introduce two new kinds of monotone hybrid methods and obtain strong convergence theorems for an infinitely countable family of uniformly Lipschitzian and asymptotically quasi-nonexpansive mappings in a Hilbert space. The results of this paper improve on and extend corresponding ones announced by many authors. © 2009. 2014-08-30T03:23:59Z 2014-08-30T03:23:59Z 2010 Article 1751570X 10.1016/j.nahs.2009.12.003 http://www.scopus.com/inward/record.url?eid=2-s2.0-77955589557&partnerID=40&md5=7dd2a58f0fd3bf3153ff851d380444b2 http://cmuir.cmu.ac.th/handle/6653943832/6227 English
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
language English
description In this paper, we prove a weak convergence theorem for the modified Mann iteration process for a uniformly Lipschitzian and asymptotically quasi-nonexpansive mapping in a uniformly convex Banach space. We also introduce two new kinds of monotone hybrid methods and obtain strong convergence theorems for an infinitely countable family of uniformly Lipschitzian and asymptotically quasi-nonexpansive mappings in a Hilbert space. The results of this paper improve on and extend corresponding ones announced by many authors. © 2009.
format Article
author Cholamjiak W.
Suantai S.
spellingShingle Cholamjiak W.
Suantai S.
Convergence theorems from monotone hybrid methods for an infinitely countable family of Lipschitz asymptotically quasi-nonexpansive mappings
author_facet Cholamjiak W.
Suantai S.
author_sort Cholamjiak W.
title Convergence theorems from monotone hybrid methods for an infinitely countable family of Lipschitz asymptotically quasi-nonexpansive mappings
title_short Convergence theorems from monotone hybrid methods for an infinitely countable family of Lipschitz asymptotically quasi-nonexpansive mappings
title_full Convergence theorems from monotone hybrid methods for an infinitely countable family of Lipschitz asymptotically quasi-nonexpansive mappings
title_fullStr Convergence theorems from monotone hybrid methods for an infinitely countable family of Lipschitz asymptotically quasi-nonexpansive mappings
title_full_unstemmed Convergence theorems from monotone hybrid methods for an infinitely countable family of Lipschitz asymptotically quasi-nonexpansive mappings
title_sort convergence theorems from monotone hybrid methods for an infinitely countable family of lipschitz asymptotically quasi-nonexpansive mappings
publishDate 2014
url http://www.scopus.com/inward/record.url?eid=2-s2.0-77955589557&partnerID=40&md5=7dd2a58f0fd3bf3153ff851d380444b2
http://cmuir.cmu.ac.th/handle/6653943832/6227
_version_ 1681420574202527744

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