Approximate solutions of vector optimization problems via improvement sets in real linear spaces

Gutiérrez, C., Huerga, Lidia, Jiménez, B. y Novo, V. . (2018) Approximate solutions of vector optimization problems via improvement sets in real linear spaces. Journal of Global Optimization

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Título Approximate solutions of vector optimization problems via improvement sets in real linear spaces
Autor(es) Gutiérrez, C.
Huerga, Lidia
Jiménez, B.
Novo, V.
Materia(s) Matemáticas
Abstract We deal with a constrained vector optimization problem between real linear spaces without assuming any topology and by considering an ordering defined through an improvement set E. We study E-optimal and weak E-optimal solutions and also proper E-optimal solutions in the senses of Benson and Henig. We relate these types of solutions and we characterize them through approximate solutions of scalar optimization problems via linear scalarizations and nearly E-subconvexlikeness assumptions. Moreover, in the particular case when the feasible set is defined by a cone-constraint, we obtain characterizations by means of Lagrange multiplier rules. The use of improvement sets allows us to unify and to extend several notions and results of the literature. Illustrative examples are also given.
Palabras clave Vector optimization
Improvement set
Approximate weak efficiency
Approximate proper efficiency
Nearly E-subconvexlikeness
Linear scalarization
Lagrange multipliers
algebraic interior
Vector closure
Editor(es) Springer Nature
Fecha 2018-04
Formato application/pdf
Identificador bibliuned:DptoMAI-ETSI-Articulos-Lhuerga-0007
http://e-spacio.uned.es/fez/view/bibliuned:DptoMAI-ETSI-Articulos-Lhuerga-0007
DOI - identifier 10.1007/s10898-017-0593-y
ISSN - identifier 1573-2916
Nombre de la revista Journal of Global Optimization
Número de Volumen 70
Página inicial 875
Página final 901
Publicado en la Revista Journal of Global Optimization
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 Naturein Journal of Global Optimization, available at: https://doi.org/10.1007/s10898-017-0593-y
Notas adicionales Este es el manuscrito aceptado del artículo publicado por Springer Natureen Journal of Global Optimization, disponible en línea: https://doi.org/10.1007/s10898-017-0593-y

 
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Creado: Wed, 07 Feb 2024, 00:09:12 CET