Hybrid method for the equilibrium problem and a family of generalized nonexpansive mappings in banach spaces

© 2016. All rights reserved. We introduce a hybrid method for finding a common element of the set of solutions of an equilibrium problem defined on the dual space of a Banach space and the set of common fixed points of a family of generalized nonexpansive mappings and prove strong convergence theore...

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Main Authors:	Chakkrid Klin-Eam, Prondanai Kaskasem, Suthep Suantai
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84993953310&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/55973
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-55973
record_format	dspace
spelling	th-cmuir.6653943832-559732018-09-05T03:06:55Z Hybrid method for the equilibrium problem and a family of generalized nonexpansive mappings in banach spaces Chakkrid Klin-Eam Prondanai Kaskasem Suthep Suantai Mathematics © 2016. All rights reserved. We introduce a hybrid method for finding a common element of the set of solutions of an equilibrium problem defined on the dual space of a Banach space and the set of common fixed points of a family of generalized nonexpansive mappings and prove strong convergence theorems by using the new hybrid method. Using our main results, we obtain some new strong convergence theorems for finding a solution of an equilibrium problem and a fixed point of a family of generalized nonexpansive mappings in a Banach space. 2018-09-05T03:06:55Z 2018-09-05T03:06:55Z 2016-01-01 Journal 20081901 20081898 2-s2.0-84993953310 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84993953310&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/55973
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Chakkrid Klin-Eam Prondanai Kaskasem Suthep Suantai Hybrid method for the equilibrium problem and a family of generalized nonexpansive mappings in banach spaces
description	© 2016. All rights reserved. We introduce a hybrid method for finding a common element of the set of solutions of an equilibrium problem defined on the dual space of a Banach space and the set of common fixed points of a family of generalized nonexpansive mappings and prove strong convergence theorems by using the new hybrid method. Using our main results, we obtain some new strong convergence theorems for finding a solution of an equilibrium problem and a fixed point of a family of generalized nonexpansive mappings in a Banach space.
format	Journal
author	Chakkrid Klin-Eam Prondanai Kaskasem Suthep Suantai
author_facet	Chakkrid Klin-Eam Prondanai Kaskasem Suthep Suantai
author_sort	Chakkrid Klin-Eam
title	Hybrid method for the equilibrium problem and a family of generalized nonexpansive mappings in banach spaces
title_short	Hybrid method for the equilibrium problem and a family of generalized nonexpansive mappings in banach spaces
title_full	Hybrid method for the equilibrium problem and a family of generalized nonexpansive mappings in banach spaces
title_fullStr	Hybrid method for the equilibrium problem and a family of generalized nonexpansive mappings in banach spaces
title_full_unstemmed	Hybrid method for the equilibrium problem and a family of generalized nonexpansive mappings in banach spaces
title_sort	hybrid method for the equilibrium problem and a family of generalized nonexpansive mappings in banach spaces
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84993953310&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/55973
_version_	1681424605196058624

Hybrid method for the equilibrium problem and a family of generalized nonexpansive mappings in banach spaces

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