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:	Wataru Takahashi, Chakkrid Klin-Eam, Suthep Suantai
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=71049120177&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/59717
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-59717
record_format	dspace
spelling	th-cmuir.6653943832-597172018-09-10T03:20:26Z Strong convergence of generalized projection algorithms for nonlinear operators Wataru Takahashi Chakkrid Klin-Eam Suthep Suantai Mathematics 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. 2018-09-10T03:20:26Z 2018-09-10T03:20:26Z 2009-12-08 Journal 16870409 10853375 2-s2.0-71049120177 10.1155/2009/649831 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=71049120177&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/59717
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Wataru Takahashi Chakkrid Klin-Eam Suthep Suantai Strong convergence of generalized projection algorithms for nonlinear operators
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	Journal
author	Wataru Takahashi Chakkrid Klin-Eam Suthep Suantai
author_facet	Wataru Takahashi Chakkrid Klin-Eam Suthep Suantai
author_sort	Wataru Takahashi
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	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=71049120177&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/59717
_version_	1681425303059038208

Strong convergence of generalized projection algorithms for nonlinear operators

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