A modified two-layer iteration via a boundary point approach to generalized multivalued pseudomonotone mixed variational inequalities

Most mathematical models arising in stationary filtration processes as well as in the theory of soft shells can be described by single-valued or generalized multivalued pseudomonotone mixed variational inequalities with proper convex nondifferentiable functionals. Therefore, for finding the minimum...

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Detalles Bibliográficos
Autor principal: Saddeek, Ali Mohamed
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5596088/
https://www.ncbi.nlm.nih.gov/pubmed/28979078
http://dx.doi.org/10.1186/s13660-017-1482-0
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author Saddeek, Ali Mohamed
author_facet Saddeek, Ali Mohamed
author_sort Saddeek, Ali Mohamed
collection PubMed
description Most mathematical models arising in stationary filtration processes as well as in the theory of soft shells can be described by single-valued or generalized multivalued pseudomonotone mixed variational inequalities with proper convex nondifferentiable functionals. Therefore, for finding the minimum norm solution of such inequalities, the current paper attempts to introduce a modified two-layer iteration via a boundary point approach and to prove its strong convergence. The results here improve and extend the corresponding recent results announced by Badriev, Zadvornov and Saddeek (Differ. Equ. 37:934-942, 2001).
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spelling pubmed-55960882017-10-02 A modified two-layer iteration via a boundary point approach to generalized multivalued pseudomonotone mixed variational inequalities Saddeek, Ali Mohamed J Inequal Appl Research Most mathematical models arising in stationary filtration processes as well as in the theory of soft shells can be described by single-valued or generalized multivalued pseudomonotone mixed variational inequalities with proper convex nondifferentiable functionals. Therefore, for finding the minimum norm solution of such inequalities, the current paper attempts to introduce a modified two-layer iteration via a boundary point approach and to prove its strong convergence. The results here improve and extend the corresponding recent results announced by Badriev, Zadvornov and Saddeek (Differ. Equ. 37:934-942, 2001). Springer International Publishing 2017-09-12 2017 /pmc/articles/PMC5596088/ /pubmed/28979078 http://dx.doi.org/10.1186/s13660-017-1482-0 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
Saddeek, Ali Mohamed
A modified two-layer iteration via a boundary point approach to generalized multivalued pseudomonotone mixed variational inequalities
title A modified two-layer iteration via a boundary point approach to generalized multivalued pseudomonotone mixed variational inequalities
title_full A modified two-layer iteration via a boundary point approach to generalized multivalued pseudomonotone mixed variational inequalities
title_fullStr A modified two-layer iteration via a boundary point approach to generalized multivalued pseudomonotone mixed variational inequalities
title_full_unstemmed A modified two-layer iteration via a boundary point approach to generalized multivalued pseudomonotone mixed variational inequalities
title_short A modified two-layer iteration via a boundary point approach to generalized multivalued pseudomonotone mixed variational inequalities
title_sort modified two-layer iteration via a boundary point approach to generalized multivalued pseudomonotone mixed variational inequalities
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5596088/
https://www.ncbi.nlm.nih.gov/pubmed/28979078
http://dx.doi.org/10.1186/s13660-017-1482-0
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