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
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84877103827&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/52755
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Institution:	Chiang Mai University

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spelling	th-cmuir.6653943832-527552018-09-04T09:31:37Z A hybrid method for a countable family of lipschitz generalized asymptotically quasi-nonexpansive mappings and an equilibrium problem Prasit Cholamjiak Watcharaporn Cholamjiak Suthep Suantai Mathematics 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. 2018-09-04T09:31:37Z 2018-09-04T09:31:37Z 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/6653943832/52755
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Prasit Cholamjiak Watcharaporn Cholamjiak Suthep Suantai A hybrid method for a countable family of lipschitz generalized asymptotically quasi-nonexpansive mappings and an equilibrium problem
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
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/6653943832/52755
_version_	1681424008999862272

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

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