Strong Convergence Algorithm for Split Equilibrium Problems and Hierarchical Fixed Point Problems

The purpose of this paper is to investigate the problem of finding the approximate element of the common set of solutions of a split equilibrium problem and a hierarchical fixed point problem in a real Hilbert space. We establish the strong convergence of the proposed method under some mild conditio...

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Detalles Bibliográficos
Autor principal: Bnouhachem, Abdellah
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3950372/
https://www.ncbi.nlm.nih.gov/pubmed/24701164
http://dx.doi.org/10.1155/2014/390956
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author Bnouhachem, Abdellah
author_facet Bnouhachem, Abdellah
author_sort Bnouhachem, Abdellah
collection PubMed
description The purpose of this paper is to investigate the problem of finding the approximate element of the common set of solutions of a split equilibrium problem and a hierarchical fixed point problem in a real Hilbert space. We establish the strong convergence of the proposed method under some mild conditions. Several special cases are also discussed. Our main result extends and improves some well-known results in the literature.
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spelling pubmed-39503722014-04-03 Strong Convergence Algorithm for Split Equilibrium Problems and Hierarchical Fixed Point Problems Bnouhachem, Abdellah ScientificWorldJournal Research Article The purpose of this paper is to investigate the problem of finding the approximate element of the common set of solutions of a split equilibrium problem and a hierarchical fixed point problem in a real Hilbert space. We establish the strong convergence of the proposed method under some mild conditions. Several special cases are also discussed. Our main result extends and improves some well-known results in the literature. Hindawi Publishing Corporation 2014-02-20 /pmc/articles/PMC3950372/ /pubmed/24701164 http://dx.doi.org/10.1155/2014/390956 Text en Copyright © 2014 Abdellah Bnouhachem. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Bnouhachem, Abdellah
Strong Convergence Algorithm for Split Equilibrium Problems and Hierarchical Fixed Point Problems
title Strong Convergence Algorithm for Split Equilibrium Problems and Hierarchical Fixed Point Problems
title_full Strong Convergence Algorithm for Split Equilibrium Problems and Hierarchical Fixed Point Problems
title_fullStr Strong Convergence Algorithm for Split Equilibrium Problems and Hierarchical Fixed Point Problems
title_full_unstemmed Strong Convergence Algorithm for Split Equilibrium Problems and Hierarchical Fixed Point Problems
title_short Strong Convergence Algorithm for Split Equilibrium Problems and Hierarchical Fixed Point Problems
title_sort strong convergence algorithm for split equilibrium problems and hierarchical fixed point problems
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3950372/
https://www.ncbi.nlm.nih.gov/pubmed/24701164
http://dx.doi.org/10.1155/2014/390956
work_keys_str_mv AT bnouhachemabdellah strongconvergencealgorithmforsplitequilibriumproblemsandhierarchicalfixedpointproblems

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