Strong Convergence of a Monotone Projection Algorithm in a Banach Space

In this paper, a common solution problem is investigated based on a Bregman projection. Strong convergence of the monotone projection algorithm for monotone operators and bifunctions is obtained in a reflexive Banach space.

Detalles Bibliográficos
Autor principal: Lv, Songtao
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2013
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3857717/
https://www.ncbi.nlm.nih.gov/pubmed/24348187
http://dx.doi.org/10.1155/2013/764909
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author Lv, Songtao
author_facet Lv, Songtao
author_sort Lv, Songtao
collection PubMed
description In this paper, a common solution problem is investigated based on a Bregman projection. Strong convergence of the monotone projection algorithm for monotone operators and bifunctions is obtained in a reflexive Banach space.
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spelling pubmed-38577172013-12-17 Strong Convergence of a Monotone Projection Algorithm in a Banach Space Lv, Songtao ScientificWorldJournal Research Article In this paper, a common solution problem is investigated based on a Bregman projection. Strong convergence of the monotone projection algorithm for monotone operators and bifunctions is obtained in a reflexive Banach space. Hindawi Publishing Corporation 2013-11-21 /pmc/articles/PMC3857717/ /pubmed/24348187 http://dx.doi.org/10.1155/2013/764909 Text en Copyright © 2013 Songtao Lv. 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
Lv, Songtao
Strong Convergence of a Monotone Projection Algorithm in a Banach Space
title Strong Convergence of a Monotone Projection Algorithm in a Banach Space
title_full Strong Convergence of a Monotone Projection Algorithm in a Banach Space
title_fullStr Strong Convergence of a Monotone Projection Algorithm in a Banach Space
title_full_unstemmed Strong Convergence of a Monotone Projection Algorithm in a Banach Space
title_short Strong Convergence of a Monotone Projection Algorithm in a Banach Space
title_sort strong convergence of a monotone projection algorithm in a banach space
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3857717/
https://www.ncbi.nlm.nih.gov/pubmed/24348187
http://dx.doi.org/10.1155/2013/764909
work_keys_str_mv AT lvsongtao strongconvergenceofamonotoneprojectionalgorithminabanachspace

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