Algorithms for the common solution of the split variational inequality problems and fixed point problems with applications

In this paper, we establish a new iterative algorithm by combining Nadezhkina and Takahashi’s modified extragradient method and Xu’s algorithm. The mentioned iterative algorithm presents the common solution of the split variational inequality problems and fixed point problems. We show that the seque...

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Detalles Bibliográficos
Autores principales: Lohawech, Panisa, Kaewcharoen, Anchalee, Farajzadeh, Ali
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6311189/
https://www.ncbi.nlm.nih.gov/pubmed/30839925
http://dx.doi.org/10.1186/s13660-018-1942-1
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author Lohawech, Panisa
Kaewcharoen, Anchalee
Farajzadeh, Ali
author_facet Lohawech, Panisa
Kaewcharoen, Anchalee
Farajzadeh, Ali
author_sort Lohawech, Panisa
collection PubMed
description In this paper, we establish a new iterative algorithm by combining Nadezhkina and Takahashi’s modified extragradient method and Xu’s algorithm. The mentioned iterative algorithm presents the common solution of the split variational inequality problems and fixed point problems. We show that the sequence produced by our algorithm is weakly convergent. Finally, we give some applications of the main results. This article extends the previous results in this area.
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spelling pubmed-63111892019-01-10 Algorithms for the common solution of the split variational inequality problems and fixed point problems with applications Lohawech, Panisa Kaewcharoen, Anchalee Farajzadeh, Ali J Inequal Appl Research In this paper, we establish a new iterative algorithm by combining Nadezhkina and Takahashi’s modified extragradient method and Xu’s algorithm. The mentioned iterative algorithm presents the common solution of the split variational inequality problems and fixed point problems. We show that the sequence produced by our algorithm is weakly convergent. Finally, we give some applications of the main results. This article extends the previous results in this area. Springer International Publishing 2018-12-29 2018 /pmc/articles/PMC6311189/ /pubmed/30839925 http://dx.doi.org/10.1186/s13660-018-1942-1 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
Lohawech, Panisa
Kaewcharoen, Anchalee
Farajzadeh, Ali
Algorithms for the common solution of the split variational inequality problems and fixed point problems with applications
title Algorithms for the common solution of the split variational inequality problems and fixed point problems with applications
title_full Algorithms for the common solution of the split variational inequality problems and fixed point problems with applications
title_fullStr Algorithms for the common solution of the split variational inequality problems and fixed point problems with applications
title_full_unstemmed Algorithms for the common solution of the split variational inequality problems and fixed point problems with applications
title_short Algorithms for the common solution of the split variational inequality problems and fixed point problems with applications
title_sort algorithms for the common solution of the split variational inequality problems and fixed point problems with applications
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6311189/
https://www.ncbi.nlm.nih.gov/pubmed/30839925
http://dx.doi.org/10.1186/s13660-018-1942-1
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AT kaewcharoenanchalee algorithmsforthecommonsolutionofthesplitvariationalinequalityproblemsandfixedpointproblemswithapplications
AT farajzadehali algorithmsforthecommonsolutionofthesplitvariationalinequalityproblemsandfixedpointproblemswithapplications

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