A new hybrid algorithm for a countable family of quasi-nonexpansive mappings and equilibrium problems

In this paper, we introduce and study a new hybrid algorithm for finding common elements of the set of common fixed points of a countable family of quasi-nonexpansive mappings, the set of solutions of variational inequality and the set of solutions of generalized equilibrium problem. We prove a stro...

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Main Authors:	Cholamjiak,W., Suantai,S.
Format:	Article
Published:	Yokohama Publishers 2015
Subjects:	Geometry and Topology Control and Optimization Applied Mathematics Analysis
Online Access:	http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84864956236&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38635
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-38635
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spelling	th-cmuir.6653943832-386352015-06-16T07:53:42Z A new hybrid algorithm for a countable family of quasi-nonexpansive mappings and equilibrium problems Cholamjiak,W. Suantai,S. Geometry and Topology Control and Optimization Applied Mathematics Analysis In this paper, we introduce and study a new hybrid algorithm for finding common elements of the set of common fixed points of a countable family of quasi-nonexpansive mappings, the set of solutions of variational inequality and the set of solutions of generalized equilibrium problem. We prove a strong convergence theorem of the purposed algorithm under some control conditions and the NST-condition. We also show that the sequences of W-mappings and K-mappings of families of quasi-nonexpansive mappings satisfy the NST-condition. 2015-06-16T07:53:42Z 2015-06-16T07:53:42Z 2011-08-01 Article 13454773 2-s2.0-84864956236 http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84864956236&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38635 Yokohama Publishers
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Geometry and Topology Control and Optimization Applied Mathematics Analysis
spellingShingle	Geometry and Topology Control and Optimization Applied Mathematics Analysis Cholamjiak,W. Suantai,S. A new hybrid algorithm for a countable family of quasi-nonexpansive mappings and equilibrium problems
description	In this paper, we introduce and study a new hybrid algorithm for finding common elements of the set of common fixed points of a countable family of quasi-nonexpansive mappings, the set of solutions of variational inequality and the set of solutions of generalized equilibrium problem. We prove a strong convergence theorem of the purposed algorithm under some control conditions and the NST-condition. We also show that the sequences of W-mappings and K-mappings of families of quasi-nonexpansive mappings satisfy the NST-condition.
format	Article
author	Cholamjiak,W. Suantai,S.
author_facet	Cholamjiak,W. Suantai,S.
author_sort	Cholamjiak,W.
title	A new hybrid algorithm for a countable family of quasi-nonexpansive mappings and equilibrium problems
title_short	A new hybrid algorithm for a countable family of quasi-nonexpansive mappings and equilibrium problems
title_full	A new hybrid algorithm for a countable family of quasi-nonexpansive mappings and equilibrium problems
title_fullStr	A new hybrid algorithm for a countable family of quasi-nonexpansive mappings and equilibrium problems
title_full_unstemmed	A new hybrid algorithm for a countable family of quasi-nonexpansive mappings and equilibrium problems
title_sort	new hybrid algorithm for a countable family of quasi-nonexpansive mappings and equilibrium problems
publisher	Yokohama Publishers
publishDate	2015
url	http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84864956236&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38635
_version_	1681421509341478912

A new hybrid algorithm for a countable family of quasi-nonexpansive mappings and equilibrium problems

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