A General Iterative Method for Equilibrium Problems and Fixed Point Problems in Hilbert Spaces

A General Iterative Method for Equilibrium Problems and Fixed Point Problems in Hilbert Spaces

We introduce a general iterative scheme by the viscosity approximation method for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a nonexpansive mapping in a Hilbert space. Our results improve and extend the corresponding ones announced by S....

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Main Authors: Xiaolong Qin, Yongfu Su, Meijuan Shang
Format: Article
Language:English
Published: SpringerOpen 2008-01-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/2007/95412
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spelling doaj-242cb432fb6f4380bdfa11c44d5a1e512020-11-24T23:15:40ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122008-01-01200710.1155/2007/95412A General Iterative Method for Equilibrium Problems and Fixed Point Problems in Hilbert SpacesXiaolong QinYongfu SuMeijuan ShangWe introduce a general iterative scheme by the viscosity approximation method for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a nonexpansive mapping in a Hilbert space. Our results improve and extend the corresponding ones announced by S. Takahashi and W. Takahashi in 2007, Marino and Xu in 2006, Combettes and Hirstoaga in 2005, and many others.http://dx.doi.org/10.1155/2007/95412
collection DOAJ
language English
format Article
sources DOAJ
author Xiaolong Qin
Yongfu Su
Meijuan Shang
spellingShingle Xiaolong Qin
Yongfu Su
Meijuan Shang
A General Iterative Method for Equilibrium Problems and Fixed Point Problems in Hilbert Spaces
Fixed Point Theory and Applications
author_facet Xiaolong Qin
Yongfu Su
Meijuan Shang
author_sort Xiaolong Qin
title A General Iterative Method for Equilibrium Problems and Fixed Point Problems in Hilbert Spaces
title_short A General Iterative Method for Equilibrium Problems and Fixed Point Problems in Hilbert Spaces
title_full A General Iterative Method for Equilibrium Problems and Fixed Point Problems in Hilbert Spaces
title_fullStr A General Iterative Method for Equilibrium Problems and Fixed Point Problems in Hilbert Spaces
title_full_unstemmed A General Iterative Method for Equilibrium Problems and Fixed Point Problems in Hilbert Spaces
title_sort general iterative method for equilibrium problems and fixed point problems in hilbert spaces
publisher SpringerOpen
series Fixed Point Theory and Applications
issn 1687-1820
1687-1812
publishDate 2008-01-01
description We introduce a general iterative scheme by the viscosity approximation method for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a nonexpansive mapping in a Hilbert space. Our results improve and extend the corresponding ones announced by S. Takahashi and W. Takahashi in 2007, Marino and Xu in 2006, Combettes and Hirstoaga in 2005, and many others.
url http://dx.doi.org/10.1155/2007/95412
work_keys_str_mv AT xiaolongqin ageneraliterativemethodforequilibriumproblemsandfixedpointproblemsinhilbertspaces
AT yongfusu ageneraliterativemethodforequilibriumproblemsandfixedpointproblemsinhilbertspaces
AT meijuanshang ageneraliterativemethodforequilibriumproblemsandfixedpointproblemsinhilbertspaces
AT xiaolongqin generaliterativemethodforequilibriumproblemsandfixedpointproblemsinhilbertspaces
AT yongfusu generaliterativemethodforequilibriumproblemsandfixedpointproblemsinhilbertspaces
AT meijuanshang generaliterativemethodforequilibriumproblemsandfixedpointproblemsinhilbertspaces
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