Strong Convergence Theorems for a Common Fixed Point of a Finite Family of Bregman Weak Relativity Nonexpansive Mappings in Reflexive Banach Spaces

We introduce an iterative process for finding an element of a common fixed point of a finite family of Bregman weak relatively nonexpansive mappings. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear operators.

Detalles Bibliográficos
Autores principales: Zegeye, Habtu, Shahzad, Naseer
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/PMC3976871/
https://www.ncbi.nlm.nih.gov/pubmed/24757423
http://dx.doi.org/10.1155/2014/493450
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author Zegeye, Habtu
Shahzad, Naseer
author_facet Zegeye, Habtu
Shahzad, Naseer
author_sort Zegeye, Habtu
collection PubMed
description We introduce an iterative process for finding an element of a common fixed point of a finite family of Bregman weak relatively nonexpansive mappings. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear operators.
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spelling pubmed-39768712014-04-22 Strong Convergence Theorems for a Common Fixed Point of a Finite Family of Bregman Weak Relativity Nonexpansive Mappings in Reflexive Banach Spaces Zegeye, Habtu Shahzad, Naseer ScientificWorldJournal Research Article We introduce an iterative process for finding an element of a common fixed point of a finite family of Bregman weak relatively nonexpansive mappings. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear operators. Hindawi Publishing Corporation 2014-03-13 /pmc/articles/PMC3976871/ /pubmed/24757423 http://dx.doi.org/10.1155/2014/493450 Text en Copyright © 2014 H. Zegeye and N. Shahzad. 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
Zegeye, Habtu
Shahzad, Naseer
Strong Convergence Theorems for a Common Fixed Point of a Finite Family of Bregman Weak Relativity Nonexpansive Mappings in Reflexive Banach Spaces
title Strong Convergence Theorems for a Common Fixed Point of a Finite Family of Bregman Weak Relativity Nonexpansive Mappings in Reflexive Banach Spaces
title_full Strong Convergence Theorems for a Common Fixed Point of a Finite Family of Bregman Weak Relativity Nonexpansive Mappings in Reflexive Banach Spaces
title_fullStr Strong Convergence Theorems for a Common Fixed Point of a Finite Family of Bregman Weak Relativity Nonexpansive Mappings in Reflexive Banach Spaces
title_full_unstemmed Strong Convergence Theorems for a Common Fixed Point of a Finite Family of Bregman Weak Relativity Nonexpansive Mappings in Reflexive Banach Spaces
title_short Strong Convergence Theorems for a Common Fixed Point of a Finite Family of Bregman Weak Relativity Nonexpansive Mappings in Reflexive Banach Spaces
title_sort strong convergence theorems for a common fixed point of a finite family of bregman weak relativity nonexpansive mappings in reflexive banach spaces
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3976871/
https://www.ncbi.nlm.nih.gov/pubmed/24757423
http://dx.doi.org/10.1155/2014/493450
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