An iterative method for equilibrium problems and a finite family of relatively nonexpansive mappings in a Banach space

In this paper, we introduce a new iterative method for finding a common element of the set of fixed points of a finite family of relatively nonexpansive mappings and the set of solutions of an equilibrium problem in uniformly convex and uniformly smooth Banach spaces. Then we prove a strong converge...

Full description

Saved in:

Bibliographic Details
Main Authors:	Prasit Cholamjiak, Suthep Suantai
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=78650005071&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50969
Tags:	Add Tag No Tags, Be the first to tag this record!
Institution:	Chiang Mai University

id	th-cmuir.6653943832-50969
record_format	dspace
spelling	th-cmuir.6653943832-509692018-09-04T04:49:07Z An iterative method for equilibrium problems and a finite family of relatively nonexpansive mappings in a Banach space Prasit Cholamjiak Suthep Suantai Mathematics In this paper, we introduce a new iterative method for finding a common element of the set of fixed points of a finite family of relatively nonexpansive mappings and the set of solutions of an equilibrium problem in uniformly convex and uniformly smooth Banach spaces. Then we prove a strong convergence theorem by using the generalized projection. © 2010 Elsevier Inc. All rights reserved. 2018-09-04T04:49:07Z 2018-09-04T04:49:07Z 2010-12-15 Journal 00963003 2-s2.0-78650005071 10.1016/j.amc.2010.09.041 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=78650005071&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50969
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Prasit Cholamjiak Suthep Suantai An iterative method for equilibrium problems and a finite family of relatively nonexpansive mappings in a Banach space
description	In this paper, we introduce a new iterative method for finding a common element of the set of fixed points of a finite family of relatively nonexpansive mappings and the set of solutions of an equilibrium problem in uniformly convex and uniformly smooth Banach spaces. Then we prove a strong convergence theorem by using the generalized projection. © 2010 Elsevier Inc. All rights reserved.
format	Journal
author	Prasit Cholamjiak Suthep Suantai
author_facet	Prasit Cholamjiak Suthep Suantai
author_sort	Prasit Cholamjiak
title	An iterative method for equilibrium problems and a finite family of relatively nonexpansive mappings in a Banach space
title_short	An iterative method for equilibrium problems and a finite family of relatively nonexpansive mappings in a Banach space
title_full	An iterative method for equilibrium problems and a finite family of relatively nonexpansive mappings in a Banach space
title_fullStr	An iterative method for equilibrium problems and a finite family of relatively nonexpansive mappings in a Banach space
title_full_unstemmed	An iterative method for equilibrium problems and a finite family of relatively nonexpansive mappings in a Banach space
title_sort	iterative method for equilibrium problems and a finite family of relatively nonexpansive mappings in a banach space
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=78650005071&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50969
_version_	1681423685261459456

An iterative method for equilibrium problems and a finite family of relatively nonexpansive mappings in a Banach space

Similar Items