Strong convergence of monotone hybrid method for maximal monotone operators and hemirelatively nonexpansive mappings

We prove strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of a hemirelatively nonexpansive mapping in a Banach space by using monotone hybrid iteration method. By using these results, we obtain new convergence resul...

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Main Authors:	Chakkrid Klin-eam, Suthep Suantai
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=70449701669&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/59727
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-59727
record_format	dspace
spelling	th-cmuir.6653943832-597272018-09-10T03:20:32Z Strong convergence of monotone hybrid method for maximal monotone operators and hemirelatively nonexpansive mappings Chakkrid Klin-eam Suthep Suantai Mathematics We prove strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of a hemirelatively nonexpansive mapping in a Banach space by using monotone hybrid iteration method. By using these results, we obtain new convergence results for resolvents of maximal monotone operators and hemirelatively nonexpansive mappings in a Banach space. Copyright © 2009 C. Klin-eam and S. Suantai. 2018-09-10T03:20:32Z 2018-09-10T03:20:32Z 2009-11-24 Journal 16871812 16871820 2-s2.0-70449701669 10.1155/2009/261932 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=70449701669&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/59727
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Chakkrid Klin-eam Suthep Suantai Strong convergence of monotone hybrid method for maximal monotone operators and hemirelatively nonexpansive mappings
description	We prove strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of a hemirelatively nonexpansive mapping in a Banach space by using monotone hybrid iteration method. By using these results, we obtain new convergence results for resolvents of maximal monotone operators and hemirelatively nonexpansive mappings in a Banach space. Copyright © 2009 C. Klin-eam and S. Suantai.
format	Journal
author	Chakkrid Klin-eam Suthep Suantai
author_facet	Chakkrid Klin-eam Suthep Suantai
author_sort	Chakkrid Klin-eam
title	Strong convergence of monotone hybrid method for maximal monotone operators and hemirelatively nonexpansive mappings
title_short	Strong convergence of monotone hybrid method for maximal monotone operators and hemirelatively nonexpansive mappings
title_full	Strong convergence of monotone hybrid method for maximal monotone operators and hemirelatively nonexpansive mappings
title_fullStr	Strong convergence of monotone hybrid method for maximal monotone operators and hemirelatively nonexpansive mappings
title_full_unstemmed	Strong convergence of monotone hybrid method for maximal monotone operators and hemirelatively nonexpansive mappings
title_sort	strong convergence of monotone hybrid method for maximal monotone operators and hemirelatively nonexpansive mappings
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=70449701669&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/59727
_version_	1681425304880414720

Strong convergence of monotone hybrid method for maximal monotone operators and hemirelatively nonexpansive mappings

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