An iterative algorithm for a system of generalized implicit variational inclusions

In this paper, we introduce a system of generalized implicit variational inclusions which consists of three variational inclusions. We design an iterative algorithm with error terms based on relaxed resolvent operator due to Ahmad et al. (Stat Optim Inf Comput 4:183–193, 2016) for approximating the...

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Detalles Bibliográficos
Autores principales: Ahmad, Iqbal, Mishra, Vishnu Narayan, Ahmad, Rais, Rahaman, Mijanur
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4977269/
https://www.ncbi.nlm.nih.gov/pubmed/27547658
http://dx.doi.org/10.1186/s40064-016-2916-8
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author Ahmad, Iqbal
Mishra, Vishnu Narayan
Ahmad, Rais
Rahaman, Mijanur
author_facet Ahmad, Iqbal
Mishra, Vishnu Narayan
Ahmad, Rais
Rahaman, Mijanur
author_sort Ahmad, Iqbal
collection PubMed
description In this paper, we introduce a system of generalized implicit variational inclusions which consists of three variational inclusions. We design an iterative algorithm with error terms based on relaxed resolvent operator due to Ahmad et al. (Stat Optim Inf Comput 4:183–193, 2016) for approximating the solution of our system. The convergence of the iterative sequences generated by the iterative algorithm is also discussed. An example is given which satisfy all the conditions of our main result.
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spelling pubmed-49772692016-08-19 An iterative algorithm for a system of generalized implicit variational inclusions Ahmad, Iqbal Mishra, Vishnu Narayan Ahmad, Rais Rahaman, Mijanur Springerplus Research In this paper, we introduce a system of generalized implicit variational inclusions which consists of three variational inclusions. We design an iterative algorithm with error terms based on relaxed resolvent operator due to Ahmad et al. (Stat Optim Inf Comput 4:183–193, 2016) for approximating the solution of our system. The convergence of the iterative sequences generated by the iterative algorithm is also discussed. An example is given which satisfy all the conditions of our main result. Springer International Publishing 2016-08-08 /pmc/articles/PMC4977269/ /pubmed/27547658 http://dx.doi.org/10.1186/s40064-016-2916-8 Text en © The Author(s) 2016 Open AccessThis 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
Ahmad, Iqbal
Mishra, Vishnu Narayan
Ahmad, Rais
Rahaman, Mijanur
An iterative algorithm for a system of generalized implicit variational inclusions
title An iterative algorithm for a system of generalized implicit variational inclusions
title_full An iterative algorithm for a system of generalized implicit variational inclusions
title_fullStr An iterative algorithm for a system of generalized implicit variational inclusions
title_full_unstemmed An iterative algorithm for a system of generalized implicit variational inclusions
title_short An iterative algorithm for a system of generalized implicit variational inclusions
title_sort iterative algorithm for a system of generalized implicit variational inclusions
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4977269/
https://www.ncbi.nlm.nih.gov/pubmed/27547658
http://dx.doi.org/10.1186/s40064-016-2916-8
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