Strong Convergence Results for Equilibrium Problems and Fixed Point Problems for Multivalued Mappings

Strong Convergence Results for Equilibrium Problems and Fixed Point Problems for Multivalued Mappings

Using viscosity approximation method, we study strong convergence to a common element of the set of solutions of an equilibrium problem and the set of common fixed points of a finite family of multivalued mappings satisfying the condition (E) in the setting of Hilbert space. Our results improve and...

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Main Authors: J. Vahidi, A. Latif, M. Eslamian
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/825130
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spelling doaj-e9e79d7f6ba245779576d2e3a7c169f62020-11-24T23:05:21ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/825130825130Strong Convergence Results for Equilibrium Problems and Fixed Point Problems for Multivalued MappingsJ. Vahidi0A. Latif1M. Eslamian2Department of Mathematics, Iran University of Science and Technology, Behshahr, IranDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, IranUsing viscosity approximation method, we study strong convergence to a common element of the set of solutions of an equilibrium problem and the set of common fixed points of a finite family of multivalued mappings satisfying the condition (E) in the setting of Hilbert space. Our results improve and extend some recent results in the literature.http://dx.doi.org/10.1155/2013/825130
collection DOAJ
language English
format Article
sources DOAJ
author J. Vahidi
A. Latif
M. Eslamian
spellingShingle J. Vahidi
A. Latif
M. Eslamian
Strong Convergence Results for Equilibrium Problems and Fixed Point Problems for Multivalued Mappings
Abstract and Applied Analysis
author_facet J. Vahidi
A. Latif
M. Eslamian
author_sort J. Vahidi
title Strong Convergence Results for Equilibrium Problems and Fixed Point Problems for Multivalued Mappings
title_short Strong Convergence Results for Equilibrium Problems and Fixed Point Problems for Multivalued Mappings
title_full Strong Convergence Results for Equilibrium Problems and Fixed Point Problems for Multivalued Mappings
title_fullStr Strong Convergence Results for Equilibrium Problems and Fixed Point Problems for Multivalued Mappings
title_full_unstemmed Strong Convergence Results for Equilibrium Problems and Fixed Point Problems for Multivalued Mappings
title_sort strong convergence results for equilibrium problems and fixed point problems for multivalued mappings
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description Using viscosity approximation method, we study strong convergence to a common element of the set of solutions of an equilibrium problem and the set of common fixed points of a finite family of multivalued mappings satisfying the condition (E) in the setting of Hilbert space. Our results improve and extend some recent results in the literature.
url http://dx.doi.org/10.1155/2013/825130
work_keys_str_mv AT jvahidi strongconvergenceresultsforequilibriumproblemsandfixedpointproblemsformultivaluedmappings
AT alatif strongconvergenceresultsforequilibriumproblemsandfixedpointproblemsformultivaluedmappings
AT meslamian strongconvergenceresultsforequilibriumproblemsandfixedpointproblemsformultivaluedmappings
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