A New Iterative Method for Solving Equilibrium Problems and Fixed Point Problems for Infinite Family of Nonexpansive Mappings

A New Iterative Method for Solving Equilibrium Problems and Fixed Point Problems for Infinite Family of Nonexpansive Mappings

<p/> <p>We introduce a new iterative scheme for finding a common element of the solutions sets of a finite family of equilibrium problems and fixed points sets of an infinite family of nonexpansive mappings in a Hilbert space. As an application, we solve a multiobjective optimization pro...

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Main Authors: Cho YeolJe, Qin Xiaolong, Wang Shenghua
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Fixed Point Theory and Applications
Online Access:http://www.fixedpointtheoryandapplications.com/content/2010/165098
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spelling doaj-fa73adc90d794911be534e81df1a9d982020-11-25T01:01:01ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122010-01-0120101165098A New Iterative Method for Solving Equilibrium Problems and Fixed Point Problems for Infinite Family of Nonexpansive MappingsCho YeolJeQin XiaolongWang Shenghua<p/> <p>We introduce a new iterative scheme for finding a common element of the solutions sets of a finite family of equilibrium problems and fixed points sets of an infinite family of nonexpansive mappings in a Hilbert space. As an application, we solve a multiobjective optimization problem using the result of this paper.</p>http://www.fixedpointtheoryandapplications.com/content/2010/165098
collection DOAJ
language English
format Article
sources DOAJ
author Cho YeolJe
Qin Xiaolong
Wang Shenghua
spellingShingle Cho YeolJe
Qin Xiaolong
Wang Shenghua
A New Iterative Method for Solving Equilibrium Problems and Fixed Point Problems for Infinite Family of Nonexpansive Mappings
Fixed Point Theory and Applications
author_facet Cho YeolJe
Qin Xiaolong
Wang Shenghua
author_sort Cho YeolJe
title A New Iterative Method for Solving Equilibrium Problems and Fixed Point Problems for Infinite Family of Nonexpansive Mappings
title_short A New Iterative Method for Solving Equilibrium Problems and Fixed Point Problems for Infinite Family of Nonexpansive Mappings
title_full A New Iterative Method for Solving Equilibrium Problems and Fixed Point Problems for Infinite Family of Nonexpansive Mappings
title_fullStr A New Iterative Method for Solving Equilibrium Problems and Fixed Point Problems for Infinite Family of Nonexpansive Mappings
title_full_unstemmed A New Iterative Method for Solving Equilibrium Problems and Fixed Point Problems for Infinite Family of Nonexpansive Mappings
title_sort new iterative method for solving equilibrium problems and fixed point problems for infinite family of nonexpansive mappings
publisher SpringerOpen
series Fixed Point Theory and Applications
issn 1687-1820
1687-1812
publishDate 2010-01-01
description <p/> <p>We introduce a new iterative scheme for finding a common element of the solutions sets of a finite family of equilibrium problems and fixed points sets of an infinite family of nonexpansive mappings in a Hilbert space. As an application, we solve a multiobjective optimization problem using the result of this paper.</p>
url http://www.fixedpointtheoryandapplications.com/content/2010/165098
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AT qinxiaolong anewiterativemethodforsolvingequilibriumproblemsandfixedpointproblemsforinfinitefamilyofnonexpansivemappings
AT wangshenghua anewiterativemethodforsolvingequilibriumproblemsandfixedpointproblemsforinfinitefamilyofnonexpansivemappings
AT choyeolje newiterativemethodforsolvingequilibriumproblemsandfixedpointproblemsforinfinitefamilyofnonexpansivemappings
AT qinxiaolong newiterativemethodforsolvingequilibriumproblemsandfixedpointproblemsforinfinitefamilyofnonexpansivemappings
AT wangshenghua newiterativemethodforsolvingequilibriumproblemsandfixedpointproblemsforinfinitefamilyofnonexpansivemappings
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