An algorithm for the split-feasibility problems with application to the split-equality problem

In this paper, we study the split-feasibility problem in Hilbert spaces by using the projected reflected gradient algorithm. As applications, we study the convex linear inverse problem and the split-equality problem in Hilbert spaces, and we give new algorithms for these problems. Finally, numerical...

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Detalles Bibliográficos
Autores principales: Chuang, Chih-Sheng, Chen, Chi-Ming
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5721129/
https://www.ncbi.nlm.nih.gov/pubmed/29242696
http://dx.doi.org/10.1186/s13660-017-1567-9
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author Chuang, Chih-Sheng
Chen, Chi-Ming
author_facet Chuang, Chih-Sheng
Chen, Chi-Ming
author_sort Chuang, Chih-Sheng
collection PubMed
description In this paper, we study the split-feasibility problem in Hilbert spaces by using the projected reflected gradient algorithm. As applications, we study the convex linear inverse problem and the split-equality problem in Hilbert spaces, and we give new algorithms for these problems. Finally, numerical results are given for our main results.
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spelling pubmed-57211292017-12-12 An algorithm for the split-feasibility problems with application to the split-equality problem Chuang, Chih-Sheng Chen, Chi-Ming J Inequal Appl Research In this paper, we study the split-feasibility problem in Hilbert spaces by using the projected reflected gradient algorithm. As applications, we study the convex linear inverse problem and the split-equality problem in Hilbert spaces, and we give new algorithms for these problems. Finally, numerical results are given for our main results. Springer International Publishing 2017-12-08 2017 /pmc/articles/PMC5721129/ /pubmed/29242696 http://dx.doi.org/10.1186/s13660-017-1567-9 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
Chuang, Chih-Sheng
Chen, Chi-Ming
An algorithm for the split-feasibility problems with application to the split-equality problem
title An algorithm for the split-feasibility problems with application to the split-equality problem
title_full An algorithm for the split-feasibility problems with application to the split-equality problem
title_fullStr An algorithm for the split-feasibility problems with application to the split-equality problem
title_full_unstemmed An algorithm for the split-feasibility problems with application to the split-equality problem
title_short An algorithm for the split-feasibility problems with application to the split-equality problem
title_sort algorithm for the split-feasibility problems with application to the split-equality problem
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5721129/
https://www.ncbi.nlm.nih.gov/pubmed/29242696
http://dx.doi.org/10.1186/s13660-017-1567-9
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