Metric characterizations for well-posedness of split hemivariational inequalities

In this paper, we generalize the concept of well-posedness to a class of split hemivariational inequalities. By imposing very mild assumptions on involved operators, we establish some metric characterizations of the well-posedness for the split hemivariational inequality. The obtained results genera...

Descripción completa

Detalles Bibliográficos
Autores principales: Shu, Qiao-yuan, Hu, Rong, Xiao, Yi-bin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6063349/
https://www.ncbi.nlm.nih.gov/pubmed/30137918
http://dx.doi.org/10.1186/s13660-018-1761-4
_version_ 1783342540536152064
author Shu, Qiao-yuan
Hu, Rong
Xiao, Yi-bin
author_facet Shu, Qiao-yuan
Hu, Rong
Xiao, Yi-bin
author_sort Shu, Qiao-yuan
collection PubMed
description In this paper, we generalize the concept of well-posedness to a class of split hemivariational inequalities. By imposing very mild assumptions on involved operators, we establish some metric characterizations of the well-posedness for the split hemivariational inequality. The obtained results generalize some related theorems on well-posedness for hemivariational inequalities and variational inequalities in the literature.
format Online
Article
Text
id pubmed-6063349
institution National Center for Biotechnology Information
language English
publishDate 2018
publisher Springer International Publishing
record_format MEDLINE/PubMed
spelling pubmed-60633492018-08-09 Metric characterizations for well-posedness of split hemivariational inequalities Shu, Qiao-yuan Hu, Rong Xiao, Yi-bin J Inequal Appl Research In this paper, we generalize the concept of well-posedness to a class of split hemivariational inequalities. By imposing very mild assumptions on involved operators, we establish some metric characterizations of the well-posedness for the split hemivariational inequality. The obtained results generalize some related theorems on well-posedness for hemivariational inequalities and variational inequalities in the literature. Springer International Publishing 2018-07-27 2018 /pmc/articles/PMC6063349/ /pubmed/30137918 http://dx.doi.org/10.1186/s13660-018-1761-4 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
Shu, Qiao-yuan
Hu, Rong
Xiao, Yi-bin
Metric characterizations for well-posedness of split hemivariational inequalities
title Metric characterizations for well-posedness of split hemivariational inequalities
title_full Metric characterizations for well-posedness of split hemivariational inequalities
title_fullStr Metric characterizations for well-posedness of split hemivariational inequalities
title_full_unstemmed Metric characterizations for well-posedness of split hemivariational inequalities
title_short Metric characterizations for well-posedness of split hemivariational inequalities
title_sort metric characterizations for well-posedness of split hemivariational inequalities
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6063349/
https://www.ncbi.nlm.nih.gov/pubmed/30137918
http://dx.doi.org/10.1186/s13660-018-1761-4
work_keys_str_mv AT shuqiaoyuan metriccharacterizationsforwellposednessofsplithemivariationalinequalities
AT hurong metriccharacterizationsforwellposednessofsplithemivariationalinequalities
AT xiaoyibin metriccharacterizationsforwellposednessofsplithemivariationalinequalities

Ejemplares similares