Necessary Conditions for Nondominated Solutions in Vector Optimization

Bao, Truong Q., Huerga, Lidia, Jiménez, B. y Novo, V. . (2020) Necessary Conditions for Nondominated Solutions in Vector Optimization. Journal of Optimization Theory and Applications

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Título Necessary Conditions for Nondominated Solutions in Vector Optimization
Autor(es) Bao, Truong Q.
Huerga, Lidia
Jiménez, B.
Novo, V.
Materia(s) Matemáticas
Abstract In this paper, we study characterizations and necessary conditions for nondominated points of sets and nondominated solutions of vector-valued functions in vector optimization with variable domination structure. We study not only the case, where the intersection of all the involved domination sets has a nonzero element, but also the case, where it might be the singleton. While the first case has been studied earlier, the second case has not, to the best of our knowledge, done yet. Our results extend and improve the existing results in vector optimization with a fixed ordering cone and with a variable ordering structure.
Palabras clave Vector optimization
Domination structures
Nondominated solutions
Generalized differentiation
Nonlinear scalarization functions
Editor(es) Springer Nature
Fecha 2020-08-07
Formato application/pdf
Identificador bibliuned:DptoMAI-ETSI-Articulos-Lhuerga-0004
http://e-spacio.uned.es/fez/view/bibliuned:DptoMAI-ETSI-Articulos-Lhuerga-0004
DOI - identifier 10.1007/s10957-020-01732-8
ISSN - identifier 1573-2878
Nombre de la revista Journal of Optimization Theory and Applications
Número de Volumen 186
Página inicial 826
Página final 842
Publicado en la Revista Journal of Optimization Theory and Applications
Idioma eng
Versión de la publicación acceptedVersion
Tipo de recurso Article
Derechos de acceso y licencia http://creativecommons.org/licenses/by-nc-nd/4.0
info:eu-repo/semantics/openAccess
Tipo de acceso Acceso abierto
Notas adicionales This is an Accepted Manuscript of an article published by Springer Nature in Journal of Optimization Theory and Applications, available at: https://doi.org/10.1007/s10957-020-01732-8
Notas adicionales Este es el manuscrito aceptado del artículo publicado por Springer Nature en Journal of Optimization Theory and Applications, disponible en línea: https://doi.org/10.1007/s10957-020-01732-8

 
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Creado: Tue, 06 Feb 2024, 23:57:02 CET