Generalized projection algorithms for maximal monotone operators and relatively non expansive mappings in Banach spaces

In this paper, we prove strong convergence theorems of modified Halpern's iteration for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of a relatively nonexpansive mapping in a Banach space by using two hybrid methods. Using these results,...

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Main Authors:	Chakkrid Klin-Eam, Suthep Suantai, Wataru Takahashi
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=79958147738&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50135
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-50135
record_format	dspace
spelling	th-cmuir.6653943832-501352018-09-04T04:24:54Z Generalized projection algorithms for maximal monotone operators and relatively non expansive mappings in Banach spaces Chakkrid Klin-Eam Suthep Suantai Wataru Takahashi Mathematics In this paper, we prove strong convergence theorems of modified Halpern's iteration for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of a relatively nonexpansive mapping in a Banach space by using two hybrid methods. Using these results, we obtain new convergence results for resolvents of maximal monotone operators and relatively nonexpansive mappings in Banach spaces. 2018-09-04T04:24:54Z 2018-09-04T04:24:54Z 2011-01-01 Journal 10275487 2-s2.0-79958147738 10.11650/twjm/1500406296 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=79958147738&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50135
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Chakkrid Klin-Eam Suthep Suantai Wataru Takahashi Generalized projection algorithms for maximal monotone operators and relatively non expansive mappings in Banach spaces
description	In this paper, we prove strong convergence theorems of modified Halpern's iteration for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of a relatively nonexpansive mapping in a Banach space by using two hybrid methods. Using these results, we obtain new convergence results for resolvents of maximal monotone operators and relatively nonexpansive mappings in Banach spaces.
format	Journal
author	Chakkrid Klin-Eam Suthep Suantai Wataru Takahashi
author_facet	Chakkrid Klin-Eam Suthep Suantai Wataru Takahashi
author_sort	Chakkrid Klin-Eam
title	Generalized projection algorithms for maximal monotone operators and relatively non expansive mappings in Banach spaces
title_short	Generalized projection algorithms for maximal monotone operators and relatively non expansive mappings in Banach spaces
title_full	Generalized projection algorithms for maximal monotone operators and relatively non expansive mappings in Banach spaces
title_fullStr	Generalized projection algorithms for maximal monotone operators and relatively non expansive mappings in Banach spaces
title_full_unstemmed	Generalized projection algorithms for maximal monotone operators and relatively non expansive mappings in Banach spaces
title_sort	generalized projection algorithms for maximal monotone operators and relatively non expansive mappings in banach spaces
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=79958147738&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50135
_version_	1681423535341305856

Generalized projection algorithms for maximal monotone operators and relatively non expansive mappings in Banach spaces

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