Strong convergence of generalized projection algorithms for nonlinear operators

We establish strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of two relatively nonexpansive mappings in a Banach space by using a new hybrid method. Moreover we apply our main results to obtain strong convergence f...

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Main Authors:	Takahashi W., Klin-Eam C., Suantai S.
Format:	Article
Language:	English
Published:	2014
Online Access:	http://www.scopus.com/inward/record.url?eid=2-s2.0-71049120177&partnerID=40&md5=771096b7a020ff810231f77c61ca5e83 http://cmuir.cmu.ac.th/handle/6653943832/5706
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Institution:	Chiang Mai University
Language:	English

id	th-cmuir.6653943832-5706
record_format	dspace
spelling	th-cmuir.6653943832-57062014-08-30T03:23:21Z Strong convergence of generalized projection algorithms for nonlinear operators Takahashi W. Klin-Eam C. Suantai S. We establish strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of two relatively nonexpansive mappings in a Banach space by using a new hybrid method. Moreover we apply our main results to obtain strong convergence for a maximal monotone operator and two nonexpansive mappings in a Hilbert space. Copyright © 2009 Chakkrid Klin-eam et al. 2014-08-30T03:23:21Z 2014-08-30T03:23:21Z 2009 Article 10853375 10.1155/2009/649831 http://www.scopus.com/inward/record.url?eid=2-s2.0-71049120177&partnerID=40&md5=771096b7a020ff810231f77c61ca5e83 http://cmuir.cmu.ac.th/handle/6653943832/5706 English
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
language	English
description	We establish strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of two relatively nonexpansive mappings in a Banach space by using a new hybrid method. Moreover we apply our main results to obtain strong convergence for a maximal monotone operator and two nonexpansive mappings in a Hilbert space. Copyright © 2009 Chakkrid Klin-eam et al.
format	Article
author	Takahashi W. Klin-Eam C. Suantai S.
spellingShingle	Takahashi W. Klin-Eam C. Suantai S. Strong convergence of generalized projection algorithms for nonlinear operators
author_facet	Takahashi W. Klin-Eam C. Suantai S.
author_sort	Takahashi W.
title	Strong convergence of generalized projection algorithms for nonlinear operators
title_short	Strong convergence of generalized projection algorithms for nonlinear operators
title_full	Strong convergence of generalized projection algorithms for nonlinear operators
title_fullStr	Strong convergence of generalized projection algorithms for nonlinear operators
title_full_unstemmed	Strong convergence of generalized projection algorithms for nonlinear operators
title_sort	strong convergence of generalized projection algorithms for nonlinear operators
publishDate	2014
url	http://www.scopus.com/inward/record.url?eid=2-s2.0-71049120177&partnerID=40&md5=771096b7a020ff810231f77c61ca5e83 http://cmuir.cmu.ac.th/handle/6653943832/5706
_version_	1681420476199469056

Strong convergence of generalized projection algorithms for nonlinear operators

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