Viscosity-Projection Method for a Family of General Equilibrium Problems and Asymptotically Strict Pseudocontractions in the Intermediate Sense

Viscosity-Projection Method for a Family of General Equilibrium Problems and Asymptotically Strict Pseudocontractions in the Intermediate Sense

In this paper, a Meir-Keeler contraction is introduced to propose a viscosity-projection approximation method for finding a common element of the set of solutions of a family of general equilibrium problems and the set of fixed points of asymptotically strict pseudocontractions in the intermediate s...

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Main Author: Dao-Jun Wen
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2013/608241
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spelling doaj-fb9d4f3eb70d4750afc3823379e01bb72020-11-24T22:09:54ZengHindawi LimitedThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/608241608241Viscosity-Projection Method for a Family of General Equilibrium Problems and Asymptotically Strict Pseudocontractions in the Intermediate SenseDao-Jun Wen0College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, ChinaIn this paper, a Meir-Keeler contraction is introduced to propose a viscosity-projection approximation method for finding a common element of the set of solutions of a family of general equilibrium problems and the set of fixed points of asymptotically strict pseudocontractions in the intermediate sense. Strong convergence of the viscosity iterative sequences is obtained under some suitable conditions. Results presented in this paper extend and unify the previously known results announced by many other authors.http://dx.doi.org/10.1155/2013/608241
collection DOAJ
language English
format Article
sources DOAJ
author Dao-Jun Wen
spellingShingle Dao-Jun Wen
Viscosity-Projection Method for a Family of General Equilibrium Problems and Asymptotically Strict Pseudocontractions in the Intermediate Sense
The Scientific World Journal
author_facet Dao-Jun Wen
author_sort Dao-Jun Wen
title Viscosity-Projection Method for a Family of General Equilibrium Problems and Asymptotically Strict Pseudocontractions in the Intermediate Sense
title_short Viscosity-Projection Method for a Family of General Equilibrium Problems and Asymptotically Strict Pseudocontractions in the Intermediate Sense
title_full Viscosity-Projection Method for a Family of General Equilibrium Problems and Asymptotically Strict Pseudocontractions in the Intermediate Sense
title_fullStr Viscosity-Projection Method for a Family of General Equilibrium Problems and Asymptotically Strict Pseudocontractions in the Intermediate Sense
title_full_unstemmed Viscosity-Projection Method for a Family of General Equilibrium Problems and Asymptotically Strict Pseudocontractions in the Intermediate Sense
title_sort viscosity-projection method for a family of general equilibrium problems and asymptotically strict pseudocontractions in the intermediate sense
publisher Hindawi Limited
series The Scientific World Journal
issn 1537-744X
publishDate 2013-01-01
description In this paper, a Meir-Keeler contraction is introduced to propose a viscosity-projection approximation method for finding a common element of the set of solutions of a family of general equilibrium problems and the set of fixed points of asymptotically strict pseudocontractions in the intermediate sense. Strong convergence of the viscosity iterative sequences is obtained under some suitable conditions. Results presented in this paper extend and unify the previously known results announced by many other authors.
url http://dx.doi.org/10.1155/2013/608241
work_keys_str_mv AT daojunwen viscosityprojectionmethodforafamilyofgeneralequilibriumproblemsandasymptoticallystrictpseudocontractionsintheintermediatesense
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