Well-posedness for a class of generalized variational-hemivariational inequalities involving set-valued operators

The aim of present work is to study some kinds of well-posedness for a class of generalized variational-hemivariational inequality problems involving set-valued operators. Some systematic approaches are presented to establish some equivalence theorems between several classes of well-posedness for th...

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Detalles Bibliográficos
Autor principal: Jiang, Caijing
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6061753/
https://www.ncbi.nlm.nih.gov/pubmed/30137915
http://dx.doi.org/10.1186/s13660-018-1776-x
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author Jiang, Caijing
author_facet Jiang, Caijing
author_sort Jiang, Caijing
collection PubMed
description The aim of present work is to study some kinds of well-posedness for a class of generalized variational-hemivariational inequality problems involving set-valued operators. Some systematic approaches are presented to establish some equivalence theorems between several classes of well-posedness for the inequality problems and some corresponding metric characterizations, which generalize many known results. Finally, the well-posedness for a class of generalized mixed equilibrium problems is also considered.
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spelling pubmed-60617532018-08-09 Well-posedness for a class of generalized variational-hemivariational inequalities involving set-valued operators Jiang, Caijing J Inequal Appl Research The aim of present work is to study some kinds of well-posedness for a class of generalized variational-hemivariational inequality problems involving set-valued operators. Some systematic approaches are presented to establish some equivalence theorems between several classes of well-posedness for the inequality problems and some corresponding metric characterizations, which generalize many known results. Finally, the well-posedness for a class of generalized mixed equilibrium problems is also considered. Springer International Publishing 2018-07-24 2018 /pmc/articles/PMC6061753/ /pubmed/30137915 http://dx.doi.org/10.1186/s13660-018-1776-x 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
Jiang, Caijing
Well-posedness for a class of generalized variational-hemivariational inequalities involving set-valued operators
title Well-posedness for a class of generalized variational-hemivariational inequalities involving set-valued operators
title_full Well-posedness for a class of generalized variational-hemivariational inequalities involving set-valued operators
title_fullStr Well-posedness for a class of generalized variational-hemivariational inequalities involving set-valued operators
title_full_unstemmed Well-posedness for a class of generalized variational-hemivariational inequalities involving set-valued operators
title_short Well-posedness for a class of generalized variational-hemivariational inequalities involving set-valued operators
title_sort well-posedness for a class of generalized variational-hemivariational inequalities involving set-valued operators
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6061753/
https://www.ncbi.nlm.nih.gov/pubmed/30137915
http://dx.doi.org/10.1186/s13660-018-1776-x
work_keys_str_mv AT jiangcaijing wellposednessforaclassofgeneralizedvariationalhemivariationalinequalitiesinvolvingsetvaluedoperators

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