On a class of vector optimization problems with a variational approach

On a class of vector optimization problems with a variational approach

A class of vector optimization problems is considered. In particular, we reformulate this problem by means of a suitable vector variational inequality, involving the normal cone operator to the adjusted sublevel sets. Finally, this variational approach allows us to obtain the existence of solutions...

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Main Authors: Maria B. Donato, Monica Milasi, Carmela Vitanza
Format: Article
Language:English
Published: Accademia Peloritana dei Pericolanti 2014-12-01
Series:Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali
Online Access: http://dx.doi.org/10.1478/AAPP.922A2
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spelling doaj-a32ee3e99cf243cfbe6d0f427afc52be2020-11-24T22:23:14ZengAccademia Peloritana dei PericolantiAtti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali0365-03591825-12422014-12-01922A210.1478/AAPP.922A2AAPP.922A2On a class of vector optimization problems with a variational approachMaria B. Donato0Monica Milasi1Carmela Vitanza2 Dipartimento di Matematica e Informatica, Universita' degli Studi di Messina, Messina, Italy Dipartimento di Matematica e Informatica, Universita' degli Studi di Messina, Messina, Italy Dipartimento di Matematica e Informatica, Universita' degli Studi di Messina, Messina, Italy A class of vector optimization problems is considered. In particular, we reformulate this problem by means of a suitable vector variational inequality, involving the normal cone operator to the adjusted sublevel sets. Finally, this variational approach allows us to obtain the existence of solutions to our vector optimization problem. http://dx.doi.org/10.1478/AAPP.922A2
collection DOAJ
language English
format Article
sources DOAJ
author Maria B. Donato
Monica Milasi
Carmela Vitanza
spellingShingle Maria B. Donato
Monica Milasi
Carmela Vitanza
On a class of vector optimization problems with a variational approach
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali
author_facet Maria B. Donato
Monica Milasi
Carmela Vitanza
author_sort Maria B. Donato
title On a class of vector optimization problems with a variational approach
title_short On a class of vector optimization problems with a variational approach
title_full On a class of vector optimization problems with a variational approach
title_fullStr On a class of vector optimization problems with a variational approach
title_full_unstemmed On a class of vector optimization problems with a variational approach
title_sort on a class of vector optimization problems with a variational approach
publisher Accademia Peloritana dei Pericolanti
series Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali
issn 0365-0359
1825-1242
publishDate 2014-12-01
description A class of vector optimization problems is considered. In particular, we reformulate this problem by means of a suitable vector variational inequality, involving the normal cone operator to the adjusted sublevel sets. Finally, this variational approach allows us to obtain the existence of solutions to our vector optimization problem.
url http://dx.doi.org/10.1478/AAPP.922A2
work_keys_str_mv AT mariabdonato onaclassofvectoroptimizationproblemswithavariationalapproach
AT monicamilasi onaclassofvectoroptimizationproblemswithavariationalapproach
AT carmelavitanza onaclassofvectoroptimizationproblemswithavariationalapproach
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