A New Hybrid Algorithm for Variational Inclusions, Generalized Equilibrium Problems, and a Finite Family of Quasi-Nonexpansive Mappings

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 result...

Full description

Bibliographic Details
Main Authors: Prasit Cholamjiak, Suthep Suantai
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/2009/350979
id doaj-45dae0ace54c48acb7a37b84058be1ba
record_format Article
spelling doaj-45dae0ace54c48acb7a37b84058be1ba2020-11-25T01:05:30ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122009-01-01200910.1155/2009/350979A New Hybrid Algorithm for Variational Inclusions, Generalized Equilibrium Problems, and a Finite Family of Quasi-Nonexpansive MappingsPrasit CholamjiakSuthep SuantaiWe 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. http://dx.doi.org/10.1155/2009/350979
collection DOAJ
language English
format Article
sources DOAJ
author Prasit Cholamjiak
Suthep Suantai
spellingShingle Prasit Cholamjiak
Suthep Suantai
A New Hybrid Algorithm for Variational Inclusions, Generalized Equilibrium Problems, and a Finite Family of Quasi-Nonexpansive Mappings
Fixed Point Theory and Applications
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
publisher SpringerOpen
series Fixed Point Theory and Applications
issn 1687-1820
1687-1812
publishDate 2009-01-01
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.
url http://dx.doi.org/10.1155/2009/350979
work_keys_str_mv AT prasitcholamjiak anewhybridalgorithmforvariationalinclusionsgeneralizedequilibriumproblemsandafinitefamilyofquasinonexpansivemappings
AT suthepsuantai anewhybridalgorithmforvariationalinclusionsgeneralizedequilibriumproblemsandafinitefamilyofquasinonexpansivemappings
AT prasitcholamjiak newhybridalgorithmforvariationalinclusionsgeneralizedequilibriumproblemsandafinitefamilyofquasinonexpansivemappings
AT suthepsuantai newhybridalgorithmforvariationalinclusionsgeneralizedequilibriumproblemsandafinitefamilyofquasinonexpansivemappings
_version_ 1715858490854998016

Similar Items