Gap functions for quasi-variational inequalities via duality

This paper deals with an application of duality theory in optimization to the construction of gap functions for quasi-variational inequalities. The same approach was investigated for variational inequalities and equilibrium problems in (Pac. J. Optim. 2(3): 667-678, 2006; Asia-Pac. J. Oper. Res. 24(...

Descripción completa

Detalles Bibliográficos
Autor principal: Altangerel, L
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5760649/
https://www.ncbi.nlm.nih.gov/pubmed/29367825
http://dx.doi.org/10.1186/s13660-017-1603-9
_version_ 1783291402143137792
author Altangerel, L
author_facet Altangerel, L
author_sort Altangerel, L
collection PubMed
description This paper deals with an application of duality theory in optimization to the construction of gap functions for quasi-variational inequalities. The same approach was investigated for variational inequalities and equilibrium problems in (Pac. J. Optim. 2(3): 667-678, 2006; Asia-Pac. J. Oper. Res. 24(3): 353-371, 2007), and the study shows that we can obtain some previous results for variational inequalities as special cases. Moreover, some applications dealing with the generalized Nash equilibrium problems and mixed variational inequalities are presented.
format Online
Article
Text
id pubmed-5760649
institution National Center for Biotechnology Information
language English
publishDate 2018
publisher Springer International Publishing
record_format MEDLINE/PubMed
spelling pubmed-57606492018-01-22 Gap functions for quasi-variational inequalities via duality Altangerel, L J Inequal Appl Research This paper deals with an application of duality theory in optimization to the construction of gap functions for quasi-variational inequalities. The same approach was investigated for variational inequalities and equilibrium problems in (Pac. J. Optim. 2(3): 667-678, 2006; Asia-Pac. J. Oper. Res. 24(3): 353-371, 2007), and the study shows that we can obtain some previous results for variational inequalities as special cases. Moreover, some applications dealing with the generalized Nash equilibrium problems and mixed variational inequalities are presented. Springer International Publishing 2018-01-10 2018 /pmc/articles/PMC5760649/ /pubmed/29367825 http://dx.doi.org/10.1186/s13660-017-1603-9 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
Altangerel, L
Gap functions for quasi-variational inequalities via duality
title Gap functions for quasi-variational inequalities via duality
title_full Gap functions for quasi-variational inequalities via duality
title_fullStr Gap functions for quasi-variational inequalities via duality
title_full_unstemmed Gap functions for quasi-variational inequalities via duality
title_short Gap functions for quasi-variational inequalities via duality
title_sort gap functions for quasi-variational inequalities via duality
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5760649/
https://www.ncbi.nlm.nih.gov/pubmed/29367825
http://dx.doi.org/10.1186/s13660-017-1603-9
work_keys_str_mv AT altangerell gapfunctionsforquasivariationalinequalitiesviaduality

Ejemplares similares