A hybrid method for a countable family of lipschitz generalized asymptotically quasi-nonexpansive mappings and an equilibrium problem

A hybrid method for a countable family of lipschitz generalized asymptotically quasi-nonexpansive mappings and an equilibrium problem

In this paper, we introduce a new iterative scheme for finding a common element of the fixed points set of a countable family of uni-formly Lipschitzian generalized asymptotically quasi-nonexpansive map-pings and the solutions set of equilibrium problems. Some strong con-vergence theorems of the pro...

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Main Authors: Prasit Cholamjiak, Watcharaporn Cholamjiak, Suthep Suantai
Format: Journal
Published: 2018
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84877103827&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/47924
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-479242018-04-25T08:45:37Z A hybrid method for a countable family of lipschitz generalized asymptotically quasi-nonexpansive mappings and an equilibrium problem Prasit Cholamjiak Watcharaporn Cholamjiak Suthep Suantai In this paper, we introduce a new iterative scheme for finding a common element of the fixed points set of a countable family of uni-formly Lipschitzian generalized asymptotically quasi-nonexpansive map-pings and the solutions set of equilibrium problems. Some strong con-vergence theorems of the proposed iterative scheme are established by using the concept of W-mappings of a countable family of uniformly Lip-schitzian generalized asymptotically quasi-nonexpansive mappings. © 2013 The Korean Mathematical Society. 2018-04-25T08:45:37Z 2018-04-25T08:45:37Z 2013-05-10 Journal 22343024 12251763 2-s2.0-84877103827 10.4134/CKMS.2013.28.2.335 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84877103827&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/47924
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
description In this paper, we introduce a new iterative scheme for finding a common element of the fixed points set of a countable family of uni-formly Lipschitzian generalized asymptotically quasi-nonexpansive map-pings and the solutions set of equilibrium problems. Some strong con-vergence theorems of the proposed iterative scheme are established by using the concept of W-mappings of a countable family of uniformly Lip-schitzian generalized asymptotically quasi-nonexpansive mappings. © 2013 The Korean Mathematical Society.
format Journal
author Prasit Cholamjiak
Watcharaporn Cholamjiak
Suthep Suantai
spellingShingle Prasit Cholamjiak
Watcharaporn Cholamjiak
Suthep Suantai
A hybrid method for a countable family of lipschitz generalized asymptotically quasi-nonexpansive mappings and an equilibrium problem
author_facet Prasit Cholamjiak
Watcharaporn Cholamjiak
Suthep Suantai
author_sort Prasit Cholamjiak
title A hybrid method for a countable family of lipschitz generalized asymptotically quasi-nonexpansive mappings and an equilibrium problem
title_short A hybrid method for a countable family of lipschitz generalized asymptotically quasi-nonexpansive mappings and an equilibrium problem
title_full A hybrid method for a countable family of lipschitz generalized asymptotically quasi-nonexpansive mappings and an equilibrium problem
title_fullStr A hybrid method for a countable family of lipschitz generalized asymptotically quasi-nonexpansive mappings and an equilibrium problem
title_full_unstemmed A hybrid method for a countable family of lipschitz generalized asymptotically quasi-nonexpansive mappings and an equilibrium problem
title_sort hybrid method for a countable family of lipschitz generalized asymptotically quasi-nonexpansive mappings and an equilibrium problem
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84877103827&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/47924
_version_ 1681423153611407360

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