Viscosity Approximation Methods for Generalized Mixed Equilibrium Problems and Fixed Points of a Sequence of Nonexpansive Mappings

We introduce an iterative scheme by the viscosity approximation method for finding a common element of the set of common solutions for generalized mixed equilibrium problems and the set of common fixed points of a sequence of nonexpansive mappings in Hilbert spaces. We show a strong convergence theo...

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Main Authors:	Chang-Wen Zhao, Nan-Jing Huang, Wei-You Zeng
Format:	Article
Language:	English
Published:	SpringerOpen 2008-12-01
Series:	Fixed Point Theory and Applications
Online Access:	http://dx.doi.org/10.1155/2008/714939

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spelling	doaj-3f9738db588e4ed1b910d9c65549e9e82020-11-24T23:57:16ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122008-12-01200810.1155/2008/714939Viscosity Approximation Methods for Generalized Mixed Equilibrium Problems and Fixed Points of a Sequence of Nonexpansive MappingsChang-Wen ZhaoNan-Jing HuangWei-You ZengWe introduce an iterative scheme by the viscosity approximation method for finding a common element of the set of common solutions for generalized mixed equilibrium problems and the set of common fixed points of a sequence of nonexpansive mappings in Hilbert spaces. We show a strong convergence theorem under some suitable conditions.http://dx.doi.org/10.1155/2008/714939
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Chang-Wen Zhao Nan-Jing Huang Wei-You Zeng
spellingShingle	Chang-Wen Zhao Nan-Jing Huang Wei-You Zeng Viscosity Approximation Methods for Generalized Mixed Equilibrium Problems and Fixed Points of a Sequence of Nonexpansive Mappings Fixed Point Theory and Applications
author_facet	Chang-Wen Zhao Nan-Jing Huang Wei-You Zeng
author_sort	Chang-Wen Zhao
title	Viscosity Approximation Methods for Generalized Mixed Equilibrium Problems and Fixed Points of a Sequence of Nonexpansive Mappings
title_short	Viscosity Approximation Methods for Generalized Mixed Equilibrium Problems and Fixed Points of a Sequence of Nonexpansive Mappings
title_full	Viscosity Approximation Methods for Generalized Mixed Equilibrium Problems and Fixed Points of a Sequence of Nonexpansive Mappings
title_fullStr	Viscosity Approximation Methods for Generalized Mixed Equilibrium Problems and Fixed Points of a Sequence of Nonexpansive Mappings
title_full_unstemmed	Viscosity Approximation Methods for Generalized Mixed Equilibrium Problems and Fixed Points of a Sequence of Nonexpansive Mappings
title_sort	viscosity approximation methods for generalized mixed equilibrium problems and fixed points of a sequence of nonexpansive mappings
publisher	SpringerOpen
series	Fixed Point Theory and Applications
issn	1687-1820 1687-1812
publishDate	2008-12-01
description	We introduce an iterative scheme by the viscosity approximation method for finding a common element of the set of common solutions for generalized mixed equilibrium problems and the set of common fixed points of a sequence of nonexpansive mappings in Hilbert spaces. We show a strong convergence theorem under some suitable conditions.
url	http://dx.doi.org/10.1155/2008/714939
work_keys_str_mv	AT changwenzhao viscosityapproximationmethodsforgeneralizedmixedequilibriumproblemsandfixedpointsofasequenceofnonexpansivemappings AT nanjinghuang viscosityapproximationmethodsforgeneralizedmixedequilibriumproblemsandfixedpointsofasequenceofnonexpansivemappings AT weiyouzeng viscosityapproximationmethodsforgeneralizedmixedequilibriumproblemsandfixedpointsofasequenceofnonexpansivemappings
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Viscosity Approximation Methods for Generalized Mixed Equilibrium Problems and Fixed Points of a Sequence of Nonexpansive Mappings

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