An Extragradient Method for Mixed Equilibrium Problems and Fixed Point Problems

An Extragradient Method for Mixed Equilibrium Problems and Fixed Point Problems

<p/> <p>The purpose of this paper is to investigate the problem of approximating a common element of the set of fixed points of a demicontractive mapping and the set of solutions of a mixed equilibrium problem. First, we propose an extragradient method for solving the mixed equilibrium p...

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Main Authors: Liou Yeong-Cheng, Wu Yuh-Jenn, Yao Yonghong
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Fixed Point Theory and Applications
Online Access:http://www.fixedpointtheoryandapplications.com/content/2009/632819
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spelling doaj-60d05c604ae64652942ba2f7c9cc727f2020-11-24T23:57:27ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122009-01-0120091632819An Extragradient Method for Mixed Equilibrium Problems and Fixed Point ProblemsLiou Yeong-ChengWu Yuh-JennYao Yonghong<p/> <p>The purpose of this paper is to investigate the problem of approximating a common element of the set of fixed points of a demicontractive mapping and the set of solutions of a mixed equilibrium problem. First, we propose an extragradient method for solving the mixed equilibrium problems and the fixed point problems. Subsequently, we prove the strong convergence of the proposed algorithm under some mild assumptions.</p>http://www.fixedpointtheoryandapplications.com/content/2009/632819
collection DOAJ
language English
format Article
sources DOAJ
author Liou Yeong-Cheng
Wu Yuh-Jenn
Yao Yonghong
spellingShingle Liou Yeong-Cheng
Wu Yuh-Jenn
Yao Yonghong
An Extragradient Method for Mixed Equilibrium Problems and Fixed Point Problems
Fixed Point Theory and Applications
author_facet Liou Yeong-Cheng
Wu Yuh-Jenn
Yao Yonghong
author_sort Liou Yeong-Cheng
title An Extragradient Method for Mixed Equilibrium Problems and Fixed Point Problems
title_short An Extragradient Method for Mixed Equilibrium Problems and Fixed Point Problems
title_full An Extragradient Method for Mixed Equilibrium Problems and Fixed Point Problems
title_fullStr An Extragradient Method for Mixed Equilibrium Problems and Fixed Point Problems
title_full_unstemmed An Extragradient Method for Mixed Equilibrium Problems and Fixed Point Problems
title_sort extragradient method for mixed equilibrium problems and fixed point problems
publisher SpringerOpen
series Fixed Point Theory and Applications
issn 1687-1820
1687-1812
publishDate 2009-01-01
description <p/> <p>The purpose of this paper is to investigate the problem of approximating a common element of the set of fixed points of a demicontractive mapping and the set of solutions of a mixed equilibrium problem. First, we propose an extragradient method for solving the mixed equilibrium problems and the fixed point problems. Subsequently, we prove the strong convergence of the proposed algorithm under some mild assumptions.</p>
url http://www.fixedpointtheoryandapplications.com/content/2009/632819
work_keys_str_mv AT liouyeongcheng anextragradientmethodformixedequilibriumproblemsandfixedpointproblems
AT wuyuhjenn anextragradientmethodformixedequilibriumproblemsandfixedpointproblems
AT yaoyonghong anextragradientmethodformixedequilibriumproblemsandfixedpointproblems
AT liouyeongcheng extragradientmethodformixedequilibriumproblemsandfixedpointproblems
AT wuyuhjenn extragradientmethodformixedequilibriumproblemsandfixedpointproblems
AT yaoyonghong extragradientmethodformixedequilibriumproblemsandfixedpointproblems
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