Approximation solution for system of generalized ordered variational inclusions with ⊕ operator in ordered Banach space

The resolvent operator approach is applied to address a system of generalized ordered variational inclusions with ⊕ operator in real ordered Banach space. With the help of the resolvent operator technique, Li et al. (J. Inequal. Appl. 2013:514, 2013; Fixed Point Theory Appl. 2014:122, 2014; Fixed Po...

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Detalles Bibliográficos
Autores principales: Sarfaraz, Mohd., Ahmad, MK, Kılıçman, A
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5397663/
https://www.ncbi.nlm.nih.gov/pubmed/28479833
http://dx.doi.org/10.1186/s13660-017-1351-x
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author Sarfaraz, Mohd.
Ahmad, MK
Kılıçman, A
author_facet Sarfaraz, Mohd.
Ahmad, MK
Kılıçman, A
author_sort Sarfaraz, Mohd.
collection PubMed
description The resolvent operator approach is applied to address a system of generalized ordered variational inclusions with ⊕ operator in real ordered Banach space. With the help of the resolvent operator technique, Li et al. (J. Inequal. Appl. 2013:514, 2013; Fixed Point Theory Appl. 2014:122, 2014; Fixed Point Theory Appl. 2014:146, 2014; Appl. Math. Lett. 25:1384-1388, 2012; Fixed Point Theory Appl. 2013:241, 2013; Eur. J. Oper. Res. 16(1):1-8, 2011; Fixed Point Theory Appl. 2014:79, 2014; Nonlinear Anal. Forum 13(2):205-214, 2008; Nonlinear Anal. Forum 14: 89-97, 2009) derived an iterative algorithm for approximating a solution of the considered system. Here, we prove an existence result for the solution of the system of generalized ordered variational inclusions and deal with a convergence scheme for the algorithms under some appropriate conditions. Some special cases are also discussed.
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spelling pubmed-53976632017-05-05 Approximation solution for system of generalized ordered variational inclusions with ⊕ operator in ordered Banach space Sarfaraz, Mohd. Ahmad, MK Kılıçman, A J Inequal Appl Research The resolvent operator approach is applied to address a system of generalized ordered variational inclusions with ⊕ operator in real ordered Banach space. With the help of the resolvent operator technique, Li et al. (J. Inequal. Appl. 2013:514, 2013; Fixed Point Theory Appl. 2014:122, 2014; Fixed Point Theory Appl. 2014:146, 2014; Appl. Math. Lett. 25:1384-1388, 2012; Fixed Point Theory Appl. 2013:241, 2013; Eur. J. Oper. Res. 16(1):1-8, 2011; Fixed Point Theory Appl. 2014:79, 2014; Nonlinear Anal. Forum 13(2):205-214, 2008; Nonlinear Anal. Forum 14: 89-97, 2009) derived an iterative algorithm for approximating a solution of the considered system. Here, we prove an existence result for the solution of the system of generalized ordered variational inclusions and deal with a convergence scheme for the algorithms under some appropriate conditions. Some special cases are also discussed. Springer International Publishing 2017-04-20 2017 /pmc/articles/PMC5397663/ /pubmed/28479833 http://dx.doi.org/10.1186/s13660-017-1351-x 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
Sarfaraz, Mohd.
Ahmad, MK
Kılıçman, A
Approximation solution for system of generalized ordered variational inclusions with ⊕ operator in ordered Banach space
title Approximation solution for system of generalized ordered variational inclusions with ⊕ operator in ordered Banach space
title_full Approximation solution for system of generalized ordered variational inclusions with ⊕ operator in ordered Banach space
title_fullStr Approximation solution for system of generalized ordered variational inclusions with ⊕ operator in ordered Banach space
title_full_unstemmed Approximation solution for system of generalized ordered variational inclusions with ⊕ operator in ordered Banach space
title_short Approximation solution for system of generalized ordered variational inclusions with ⊕ operator in ordered Banach space
title_sort approximation solution for system of generalized ordered variational inclusions with ⊕ operator in ordered banach space
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5397663/
https://www.ncbi.nlm.nih.gov/pubmed/28479833
http://dx.doi.org/10.1186/s13660-017-1351-x
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