Convergence analysis for a system of equilibrium problems and a countable family of relatively quasi-nonexpansive mappings in banach spaces

We introduce a new hybrid iterative scheme for finding a common element in the solutions set of a system of equilibrium problems and the common fixed points set of an infinitely countable family of relatively quasi-nonexpansive mappings in the framework of Banach spaces. We prove the strong converge...

Full description

Saved in:

Bibliographic Details
Main Authors:	Suthep Suantai, Prasit Cholamjiak
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77957839333&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50983
Tags:	Add Tag No Tags, Be the first to tag this record!
Institution:	Chiang Mai University

id	th-cmuir.6653943832-50983
record_format	dspace
spelling	th-cmuir.6653943832-509832018-09-04T04:49:19Z Convergence analysis for a system of equilibrium problems and a countable family of relatively quasi-nonexpansive mappings in banach spaces Suthep Suantai Prasit Cholamjiak Mathematics We introduce a new hybrid iterative scheme for finding a common element in the solutions set of a system of equilibrium problems and the common fixed points set of an infinitely countable family of relatively quasi-nonexpansive mappings in the framework of Banach spaces. We prove the strong convergence theorem by the shrinking projection method. In addition, the results obtained in this paper can be applied to a system of variational inequality problems and to a system of convex minimization problems in a Banach space. © 2010 Prasit Cholamjiak and Suthep Suantai. 2018-09-04T04:49:19Z 2018-09-04T04:49:19Z 2010-10-18 Journal 16870409 10853375 2-s2.0-77957839333 10.1155/2010/141376 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77957839333&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50983
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Suthep Suantai Prasit Cholamjiak Convergence analysis for a system of equilibrium problems and a countable family of relatively quasi-nonexpansive mappings in banach spaces
description	We introduce a new hybrid iterative scheme for finding a common element in the solutions set of a system of equilibrium problems and the common fixed points set of an infinitely countable family of relatively quasi-nonexpansive mappings in the framework of Banach spaces. We prove the strong convergence theorem by the shrinking projection method. In addition, the results obtained in this paper can be applied to a system of variational inequality problems and to a system of convex minimization problems in a Banach space. © 2010 Prasit Cholamjiak and Suthep Suantai.
format	Journal
author	Suthep Suantai Prasit Cholamjiak
author_facet	Suthep Suantai Prasit Cholamjiak
author_sort	Suthep Suantai
title	Convergence analysis for a system of equilibrium problems and a countable family of relatively quasi-nonexpansive mappings in banach spaces
title_short	Convergence analysis for a system of equilibrium problems and a countable family of relatively quasi-nonexpansive mappings in banach spaces
title_full	Convergence analysis for a system of equilibrium problems and a countable family of relatively quasi-nonexpansive mappings in banach spaces
title_fullStr	Convergence analysis for a system of equilibrium problems and a countable family of relatively quasi-nonexpansive mappings in banach spaces
title_full_unstemmed	Convergence analysis for a system of equilibrium problems and a countable family of relatively quasi-nonexpansive mappings in banach spaces
title_sort	convergence analysis for a system of equilibrium problems and a countable family of relatively quasi-nonexpansive mappings in banach spaces
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77957839333&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50983
_version_	1681423687772798976

Convergence analysis for a system of equilibrium problems and a countable family of relatively quasi-nonexpansive mappings in banach spaces

Similar Items