Iterative methods of strong convergence theorems for the split feasibility problem in Hilbert spaces

In this paper, we propose several new iterative algorithms to solve the split feasibility problem in the Hilbert spaces. By virtue of new analytical techniques, we prove that the iterative sequence generated by these iterative procedures converges to the solution of the split feasibility problem whi...

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Detalles Bibliográficos
Autores principales: Tang, Yuchao, Liu, Liwei
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5181101/
https://www.ncbi.nlm.nih.gov/pubmed/28077921
http://dx.doi.org/10.1186/s13660-016-1228-4
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author Tang, Yuchao
Liu, Liwei
author_facet Tang, Yuchao
Liu, Liwei
author_sort Tang, Yuchao
collection PubMed
description In this paper, we propose several new iterative algorithms to solve the split feasibility problem in the Hilbert spaces. By virtue of new analytical techniques, we prove that the iterative sequence generated by these iterative procedures converges to the solution of the split feasibility problem which is the best close to a given point. In particular, the minimum-norm solution can be found via our iteration method.
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spelling pubmed-51811012017-01-09 Iterative methods of strong convergence theorems for the split feasibility problem in Hilbert spaces Tang, Yuchao Liu, Liwei J Inequal Appl Research In this paper, we propose several new iterative algorithms to solve the split feasibility problem in the Hilbert spaces. By virtue of new analytical techniques, we prove that the iterative sequence generated by these iterative procedures converges to the solution of the split feasibility problem which is the best close to a given point. In particular, the minimum-norm solution can be found via our iteration method. Springer International Publishing 2016-11-17 2016 /pmc/articles/PMC5181101/ /pubmed/28077921 http://dx.doi.org/10.1186/s13660-016-1228-4 Text en © Tang and Liu 2016 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
Tang, Yuchao
Liu, Liwei
Iterative methods of strong convergence theorems for the split feasibility problem in Hilbert spaces
title Iterative methods of strong convergence theorems for the split feasibility problem in Hilbert spaces
title_full Iterative methods of strong convergence theorems for the split feasibility problem in Hilbert spaces
title_fullStr Iterative methods of strong convergence theorems for the split feasibility problem in Hilbert spaces
title_full_unstemmed Iterative methods of strong convergence theorems for the split feasibility problem in Hilbert spaces
title_short Iterative methods of strong convergence theorems for the split feasibility problem in Hilbert spaces
title_sort iterative methods of strong convergence theorems for the split feasibility problem in hilbert spaces
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5181101/
https://www.ncbi.nlm.nih.gov/pubmed/28077921
http://dx.doi.org/10.1186/s13660-016-1228-4
work_keys_str_mv AT tangyuchao iterativemethodsofstrongconvergencetheoremsforthesplitfeasibilityprobleminhilbertspaces
AT liuliwei iterativemethodsofstrongconvergencetheoremsforthesplitfeasibilityprobleminhilbertspaces

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