Weak and Strong Convergence Theorems for Equilibrium Problems and Countable Strict Pseudocontractions Mappings in Hilbert Space

Weak and Strong Convergence Theorems for Equilibrium Problems and Countable Strict Pseudocontractions Mappings in Hilbert Space

<p/> <p>We introduce two iterative sequence for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a countable family of strict pseudocontractions in Hilbert Space. Then we study the weak and strong convergence of the sequences.</...

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Bibliographic Details
Main Authors: Shen Xilin, Chen Rudong, Cui Shujun
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2010/474813
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spelling doaj-2754c4ddc4a4424cb82e86cc96b9012f2020-11-25T01:06:01ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-0120101474813Weak and Strong Convergence Theorems for Equilibrium Problems and Countable Strict Pseudocontractions Mappings in Hilbert SpaceShen XilinChen RudongCui Shujun<p/> <p>We introduce two iterative sequence for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a countable family of strict pseudocontractions in Hilbert Space. Then we study the weak and strong convergence of the sequences.</p>http://www.journalofinequalitiesandapplications.com/content/2010/474813
collection DOAJ
language English
format Article
sources DOAJ
author Shen Xilin
Chen Rudong
Cui Shujun
spellingShingle Shen Xilin
Chen Rudong
Cui Shujun
Weak and Strong Convergence Theorems for Equilibrium Problems and Countable Strict Pseudocontractions Mappings in Hilbert Space
Journal of Inequalities and Applications
author_facet Shen Xilin
Chen Rudong
Cui Shujun
author_sort Shen Xilin
title Weak and Strong Convergence Theorems for Equilibrium Problems and Countable Strict Pseudocontractions Mappings in Hilbert Space
title_short Weak and Strong Convergence Theorems for Equilibrium Problems and Countable Strict Pseudocontractions Mappings in Hilbert Space
title_full Weak and Strong Convergence Theorems for Equilibrium Problems and Countable Strict Pseudocontractions Mappings in Hilbert Space
title_fullStr Weak and Strong Convergence Theorems for Equilibrium Problems and Countable Strict Pseudocontractions Mappings in Hilbert Space
title_full_unstemmed Weak and Strong Convergence Theorems for Equilibrium Problems and Countable Strict Pseudocontractions Mappings in Hilbert Space
title_sort weak and strong convergence theorems for equilibrium problems and countable strict pseudocontractions mappings in hilbert space
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2010-01-01
description <p/> <p>We introduce two iterative sequence for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a countable family of strict pseudocontractions in Hilbert Space. Then we study the weak and strong convergence of the sequences.</p>
url http://www.journalofinequalitiesandapplications.com/content/2010/474813
work_keys_str_mv AT shenxilin weakandstrongconvergencetheoremsforequilibriumproblemsandcountablestrictpseudocontractionsmappingsinhilbertspace
AT chenrudong weakandstrongconvergencetheoremsforequilibriumproblemsandcountablestrictpseudocontractionsmappingsinhilbertspace
AT cuishujun weakandstrongconvergencetheoremsforequilibriumproblemsandcountablestrictpseudocontractionsmappingsinhilbertspace
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