General Iterative Methods for Equilibrium Problems and Infinitely Many Strict Pseudocontractions in Hilbert Spaces

We propose an implicit iterative scheme and an explicit iterative scheme for finding a common element of the set of fixed point of infinitely many strict pseudocontractive mappings and the set of solutions of an equilibrium problem by the general iterative methods. In the setting of real Hilbert spa...

Full description

Saved in:
Bibliographic Details
Main Authors: Peichao Duan, Aihong Wang
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/602513
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832563898189873152
author Peichao Duan
Aihong Wang
author_facet Peichao Duan
Aihong Wang
author_sort Peichao Duan
collection DOAJ
description We propose an implicit iterative scheme and an explicit iterative scheme for finding a common element of the set of fixed point of infinitely many strict pseudocontractive mappings and the set of solutions of an equilibrium problem by the general iterative methods. In the setting of real Hilbert spaces, strong convergence theorems are proved. Our results improve and extend the corresponding results reported by many others.
format Article
id doaj-art-312ac576929042be9afc5de07180393f
institution Kabale University
issn 1110-757X
1687-0042
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-312ac576929042be9afc5de07180393f2025-02-03T01:12:18ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/602513602513General Iterative Methods for Equilibrium Problems and Infinitely Many Strict Pseudocontractions in Hilbert SpacesPeichao Duan0Aihong Wang1College of Science, Civil Aviation University of China, Tianjin 300300, ChinaCollege of Science, Civil Aviation University of China, Tianjin 300300, ChinaWe propose an implicit iterative scheme and an explicit iterative scheme for finding a common element of the set of fixed point of infinitely many strict pseudocontractive mappings and the set of solutions of an equilibrium problem by the general iterative methods. In the setting of real Hilbert spaces, strong convergence theorems are proved. Our results improve and extend the corresponding results reported by many others.http://dx.doi.org/10.1155/2012/602513
spellingShingle Peichao Duan
Aihong Wang
General Iterative Methods for Equilibrium Problems and Infinitely Many Strict Pseudocontractions in Hilbert Spaces
Journal of Applied Mathematics
title General Iterative Methods for Equilibrium Problems and Infinitely Many Strict Pseudocontractions in Hilbert Spaces
title_full General Iterative Methods for Equilibrium Problems and Infinitely Many Strict Pseudocontractions in Hilbert Spaces
title_fullStr General Iterative Methods for Equilibrium Problems and Infinitely Many Strict Pseudocontractions in Hilbert Spaces
title_full_unstemmed General Iterative Methods for Equilibrium Problems and Infinitely Many Strict Pseudocontractions in Hilbert Spaces
title_short General Iterative Methods for Equilibrium Problems and Infinitely Many Strict Pseudocontractions in Hilbert Spaces
title_sort general iterative methods for equilibrium problems and infinitely many strict pseudocontractions in hilbert spaces
url http://dx.doi.org/10.1155/2012/602513
work_keys_str_mv AT peichaoduan generaliterativemethodsforequilibriumproblemsandinfinitelymanystrictpseudocontractionsinhilbertspaces
AT aihongwang generaliterativemethodsforequilibriumproblemsandinfinitelymanystrictpseudocontractionsinhilbertspaces