Convergence theorem for equilibrium problem and Bregman strongly nonexpansive mappings in Banach spaces

© 2015 Taylor & Francis In this paper, we present an iterative scheme for Bregman strongly nonexpansive mappings in the framework of Banach spaces. Furthermore, we prove the strong convergence theorem for finding common fixed points with the set of solutions of an equilibrium problem.

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Main Authors:	Kumam,W., Witthayarat,U., Kumam,P., Suantai,S., Wattanawitoon,K.
Format:	Article
Published:	Taylor and Francis Ltd. 2015
Subjects:	Control and Optimization Management Science and Operations Research Applied Mathematics
Online Access:	http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84924709659&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38909
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-38909
record_format	dspace
spelling	th-cmuir.6653943832-389092015-06-16T07:54:34Z Convergence theorem for equilibrium problem and Bregman strongly nonexpansive mappings in Banach spaces Kumam,W. Witthayarat,U. Kumam,P. Suantai,S. Wattanawitoon,K. Control and Optimization Management Science and Operations Research Applied Mathematics © 2015 Taylor & Francis In this paper, we present an iterative scheme for Bregman strongly nonexpansive mappings in the framework of Banach spaces. Furthermore, we prove the strong convergence theorem for finding common fixed points with the set of solutions of an equilibrium problem. 2015-06-16T07:54:34Z 2015-06-16T07:54:34Z 2015-03-12 Article in Press 02331934 2-s2.0-84924709659 10.1080/02331934.2015.1020942 http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84924709659&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38909 Taylor and Francis Ltd.
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Control and Optimization Management Science and Operations Research Applied Mathematics
spellingShingle	Control and Optimization Management Science and Operations Research Applied Mathematics Kumam,W. Witthayarat,U. Kumam,P. Suantai,S. Wattanawitoon,K. Convergence theorem for equilibrium problem and Bregman strongly nonexpansive mappings in Banach spaces
description	© 2015 Taylor & Francis In this paper, we present an iterative scheme for Bregman strongly nonexpansive mappings in the framework of Banach spaces. Furthermore, we prove the strong convergence theorem for finding common fixed points with the set of solutions of an equilibrium problem.
format	Article
author	Kumam,W. Witthayarat,U. Kumam,P. Suantai,S. Wattanawitoon,K.
author_facet	Kumam,W. Witthayarat,U. Kumam,P. Suantai,S. Wattanawitoon,K.
author_sort	Kumam,W.
title	Convergence theorem for equilibrium problem and Bregman strongly nonexpansive mappings in Banach spaces
title_short	Convergence theorem for equilibrium problem and Bregman strongly nonexpansive mappings in Banach spaces
title_full	Convergence theorem for equilibrium problem and Bregman strongly nonexpansive mappings in Banach spaces
title_fullStr	Convergence theorem for equilibrium problem and Bregman strongly nonexpansive mappings in Banach spaces
title_full_unstemmed	Convergence theorem for equilibrium problem and Bregman strongly nonexpansive mappings in Banach spaces
title_sort	convergence theorem for equilibrium problem and bregman strongly nonexpansive mappings in banach spaces
publisher	Taylor and Francis Ltd.
publishDate	2015
url	http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84924709659&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38909
_version_	1681421558903472128

Convergence theorem for equilibrium problem and Bregman strongly nonexpansive mappings in Banach spaces

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