Simultaneous and semi-alternating projection algorithms for solving split equality problems

In this article, we first introduce two simultaneous projection algorithms for solving the split equality problem by using a new choice of the stepsize, and then propose two semi-alternating projection algorithms. The weak convergence of the proposed algorithms is analyzed under standard conditions....

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Detalles Bibliográficos
Autores principales: Dong, Qiao-Li, Jiang, Dan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5754427/
https://www.ncbi.nlm.nih.gov/pubmed/29367816
http://dx.doi.org/10.1186/s13660-017-1595-5
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author Dong, Qiao-Li
Jiang, Dan
author_facet Dong, Qiao-Li
Jiang, Dan
author_sort Dong, Qiao-Li
collection PubMed
description In this article, we first introduce two simultaneous projection algorithms for solving the split equality problem by using a new choice of the stepsize, and then propose two semi-alternating projection algorithms. The weak convergence of the proposed algorithms is analyzed under standard conditions. As applications, we extend the results to solve the split feasibility problem. Finally, a numerical example is presented to illustrate the efficiency and advantage of the proposed algorithms.
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spelling pubmed-57544272018-01-22 Simultaneous and semi-alternating projection algorithms for solving split equality problems Dong, Qiao-Li Jiang, Dan J Inequal Appl Research In this article, we first introduce two simultaneous projection algorithms for solving the split equality problem by using a new choice of the stepsize, and then propose two semi-alternating projection algorithms. The weak convergence of the proposed algorithms is analyzed under standard conditions. As applications, we extend the results to solve the split feasibility problem. Finally, a numerical example is presented to illustrate the efficiency and advantage of the proposed algorithms. Springer International Publishing 2018-01-04 2018 /pmc/articles/PMC5754427/ /pubmed/29367816 http://dx.doi.org/10.1186/s13660-017-1595-5 Text en © The Author(s) 2018 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
Dong, Qiao-Li
Jiang, Dan
Simultaneous and semi-alternating projection algorithms for solving split equality problems
title Simultaneous and semi-alternating projection algorithms for solving split equality problems
title_full Simultaneous and semi-alternating projection algorithms for solving split equality problems
title_fullStr Simultaneous and semi-alternating projection algorithms for solving split equality problems
title_full_unstemmed Simultaneous and semi-alternating projection algorithms for solving split equality problems
title_short Simultaneous and semi-alternating projection algorithms for solving split equality problems
title_sort simultaneous and semi-alternating projection algorithms for solving split equality problems
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5754427/
https://www.ncbi.nlm.nih.gov/pubmed/29367816
http://dx.doi.org/10.1186/s13660-017-1595-5
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AT jiangdan simultaneousandsemialternatingprojectionalgorithmsforsolvingsplitequalityproblems

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