Strong convergence of an extragradient-type algorithm for the multiple-sets split equality problem

This paper introduces a new extragradient-type method to solve the multiple-sets split equality problem (MSSEP). Under some suitable conditions, the strong convergence of an algorithm can be verified in the infinite-dimensional Hilbert spaces. Moreover, several numerical results are given to show th...

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Detalles Bibliográficos
Autores principales: Zhao, Ying, Shi, Luoyi
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5331114/
https://www.ncbi.nlm.nih.gov/pubmed/28303078
http://dx.doi.org/10.1186/s13660-017-1326-y
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author Zhao, Ying
Shi, Luoyi
author_facet Zhao, Ying
Shi, Luoyi
author_sort Zhao, Ying
collection PubMed
description This paper introduces a new extragradient-type method to solve the multiple-sets split equality problem (MSSEP). Under some suitable conditions, the strong convergence of an algorithm can be verified in the infinite-dimensional Hilbert spaces. Moreover, several numerical results are given to show the effectiveness of our algorithm.
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spelling pubmed-53311142017-03-14 Strong convergence of an extragradient-type algorithm for the multiple-sets split equality problem Zhao, Ying Shi, Luoyi J Inequal Appl Research This paper introduces a new extragradient-type method to solve the multiple-sets split equality problem (MSSEP). Under some suitable conditions, the strong convergence of an algorithm can be verified in the infinite-dimensional Hilbert spaces. Moreover, several numerical results are given to show the effectiveness of our algorithm. Springer International Publishing 2017-02-28 2017 /pmc/articles/PMC5331114/ /pubmed/28303078 http://dx.doi.org/10.1186/s13660-017-1326-y Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Zhao, Ying
Shi, Luoyi
Strong convergence of an extragradient-type algorithm for the multiple-sets split equality problem
title Strong convergence of an extragradient-type algorithm for the multiple-sets split equality problem
title_full Strong convergence of an extragradient-type algorithm for the multiple-sets split equality problem
title_fullStr Strong convergence of an extragradient-type algorithm for the multiple-sets split equality problem
title_full_unstemmed Strong convergence of an extragradient-type algorithm for the multiple-sets split equality problem
title_short Strong convergence of an extragradient-type algorithm for the multiple-sets split equality problem
title_sort strong convergence of an extragradient-type algorithm for the multiple-sets split equality problem
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5331114/
https://www.ncbi.nlm.nih.gov/pubmed/28303078
http://dx.doi.org/10.1186/s13660-017-1326-y
work_keys_str_mv AT zhaoying strongconvergenceofanextragradienttypealgorithmforthemultiplesetssplitequalityproblem
AT shiluoyi strongconvergenceofanextragradienttypealgorithmforthemultiplesetssplitequalityproblem

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