A Hybrid Method for a Countable Family of Multivalued Maps, Equilibrium Problems, and Variational Inequality Problems

A Hybrid Method for a Countable Family of Multivalued Maps, Equilibrium Problems, and Variational Inequality Problems

We introduce a new monotone hybrid iterative scheme for finding a common element of the set of common fixed points of a countable family of nonexpansive multivalued maps, the set of solutions of variational inequality problem, and the set of the solutions of the equilibrium problem in a Hilbert spac...

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Main Authors: Watcharaporn Cholamjiak, Suthep Suantai
Format: Article
Language:English
Published: Hindawi Limited 2010-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2010/349158
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spelling doaj-a84a10d5a9ed4c13ade1401350d697fa2020-11-24T22:43:57ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2010-01-01201010.1155/2010/349158349158A Hybrid Method for a Countable Family of Multivalued Maps, Equilibrium Problems, and Variational Inequality ProblemsWatcharaporn Cholamjiak0Suthep Suantai1Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, ThailandDepartment of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, ThailandWe introduce a new monotone hybrid iterative scheme for finding a common element of the set of common fixed points of a countable family of nonexpansive multivalued maps, the set of solutions of variational inequality problem, and the set of the solutions of the equilibrium problem in a Hilbert space. Strong convergence theorems of the purposed iteration are established.http://dx.doi.org/10.1155/2010/349158
collection DOAJ
language English
format Article
sources DOAJ
author Watcharaporn Cholamjiak
Suthep Suantai
spellingShingle Watcharaporn Cholamjiak
Suthep Suantai
A Hybrid Method for a Countable Family of Multivalued Maps, Equilibrium Problems, and Variational Inequality Problems
Discrete Dynamics in Nature and Society
author_facet Watcharaporn Cholamjiak
Suthep Suantai
author_sort Watcharaporn Cholamjiak
title A Hybrid Method for a Countable Family of Multivalued Maps, Equilibrium Problems, and Variational Inequality Problems
title_short A Hybrid Method for a Countable Family of Multivalued Maps, Equilibrium Problems, and Variational Inequality Problems
title_full A Hybrid Method for a Countable Family of Multivalued Maps, Equilibrium Problems, and Variational Inequality Problems
title_fullStr A Hybrid Method for a Countable Family of Multivalued Maps, Equilibrium Problems, and Variational Inequality Problems
title_full_unstemmed A Hybrid Method for a Countable Family of Multivalued Maps, Equilibrium Problems, and Variational Inequality Problems
title_sort hybrid method for a countable family of multivalued maps, equilibrium problems, and variational inequality problems
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2010-01-01
description We introduce a new monotone hybrid iterative scheme for finding a common element of the set of common fixed points of a countable family of nonexpansive multivalued maps, the set of solutions of variational inequality problem, and the set of the solutions of the equilibrium problem in a Hilbert space. Strong convergence theorems of the purposed iteration are established.
url http://dx.doi.org/10.1155/2010/349158
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AT suthepsuantai ahybridmethodforacountablefamilyofmultivaluedmapsequilibriumproblemsandvariationalinequalityproblems
AT watcharaporncholamjiak hybridmethodforacountablefamilyofmultivaluedmapsequilibriumproblemsandvariationalinequalityproblems
AT suthepsuantai hybridmethodforacountablefamilyofmultivaluedmapsequilibriumproblemsandvariationalinequalityproblems
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