A new hybrid algorithm for variational inclusions, generalized equilibrium problems, and a finite family of quasi-nonexpansive mappings

We proposed in this paper a new iterative scheme for finding common elements of the set of fixed points of a finite family of quasi-nonexpansive mappings, the set of solutions of variational inclusion, and the set of solutions of generalized equilibrium problems. Some strong convergence results were...

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Main Authors:	Prasit Cholamjiak, Suthep Suantai
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=70449699858&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/59728
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-59728
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spelling	th-cmuir.6653943832-597282018-09-10T03:20:32Z A new hybrid algorithm for variational inclusions, generalized equilibrium problems, and a finite family of quasi-nonexpansive mappings Prasit Cholamjiak Suthep Suantai Mathematics We proposed in this paper a new iterative scheme for finding common elements of the set of fixed points of a finite family of quasi-nonexpansive mappings, the set of solutions of variational inclusion, and the set of solutions of generalized equilibrium problems. Some strong convergence results were derived by using the concept of W-mappings for a finite family of quasi-nonexpansive mappings. Strong convergence results are derived under suitable conditions in Hilbert spaces. Copyright © 2009 P. Cholamjiak and S. Suantai. 2018-09-10T03:20:32Z 2018-09-10T03:20:32Z 2009-11-24 Journal 16871812 16871820 2-s2.0-70449699858 10.1155/2009/350979 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=70449699858&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/59728
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Prasit Cholamjiak Suthep Suantai A new hybrid algorithm for variational inclusions, generalized equilibrium problems, and a finite family of quasi-nonexpansive mappings
description	We proposed in this paper a new iterative scheme for finding common elements of the set of fixed points of a finite family of quasi-nonexpansive mappings, the set of solutions of variational inclusion, and the set of solutions of generalized equilibrium problems. Some strong convergence results were derived by using the concept of W-mappings for a finite family of quasi-nonexpansive mappings. Strong convergence results are derived under suitable conditions in Hilbert spaces. Copyright © 2009 P. Cholamjiak and S. Suantai.
format	Journal
author	Prasit Cholamjiak Suthep Suantai
author_facet	Prasit Cholamjiak Suthep Suantai
author_sort	Prasit Cholamjiak
title	A new hybrid algorithm for variational inclusions, generalized equilibrium problems, and a finite family of quasi-nonexpansive mappings
title_short	A new hybrid algorithm for variational inclusions, generalized equilibrium problems, and a finite family of quasi-nonexpansive mappings
title_full	A new hybrid algorithm for variational inclusions, generalized equilibrium problems, and a finite family of quasi-nonexpansive mappings
title_fullStr	A new hybrid algorithm for variational inclusions, generalized equilibrium problems, and a finite family of quasi-nonexpansive mappings
title_full_unstemmed	A new hybrid algorithm for variational inclusions, generalized equilibrium problems, and a finite family of quasi-nonexpansive mappings
title_sort	new hybrid algorithm for variational inclusions, generalized equilibrium problems, and a finite family of quasi-nonexpansive mappings
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=70449699858&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/59728
_version_	1681425305062866944

A new hybrid algorithm for variational inclusions, generalized equilibrium problems, and a finite family of quasi-nonexpansive mappings

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