Limit Behavior of Approximate Proper Solutions in Vector Optimization

Gutiérrez, C., Huerga, Lidia, Novo, V. y Sama, Miguel . (2019) Limit Behavior of Approximate Proper Solutions in Vector Optimization. SIAM Journal on Optimization

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Título Limit Behavior of Approximate Proper Solutions in Vector Optimization
Autor(es) Gutiérrez, C.
Huerga, Lidia
Novo, V.
Sama, Miguel
Materia(s) Matemáticas
Abstract In the framework of a vector optimization problem, we provide conditions for approximate proper solutions to tend to exact weak/efficient/proper solutions when the error tends to zero. This limit behavior depends on an approximation set that is used to define the approximate proper efficient solutions. We also study the special case when the final space of the vector optimization problem is normed, and more particularly, when it is finite dimensional. In these specific frameworks, we provide several explicit constructions of dilating ordering cones and approximation sets that lead to the desired limit behavior. In proving our results, new relationships between different concepts of approximate proper efficiency are stated.
Palabras clave vector optimization
approximate efficiency
approximate proper efficiency
dilating cone
approximating family of cones
Editor(es) Society for Industrial and Applied Mathematics
Fecha 2019
Formato application/pdf
Identificador bibliuned:DptoMAI-ETSI-Articulos-Lhuerga-0006
http://e-spacio.uned.es/fez/view/bibliuned:DptoMAI-ETSI-Articulos-Lhuerga-0006
DOI - identifier 10.1137/19M1246286
ISSN - identifier 1095-7189
Nombre de la revista SIAM Journal on Optimization
Número de Volumen 29
Número de Issue 4
Página inicial 2677
Página final 2696
Publicado en la Revista SIAM Journal on 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 Society for Industrial and Applied Mathematics in SIAM Journal on Optimization, available at: https://doi.org/10.1137/19M1246286
Notas adicionales Este es el manuscrito aceptado del artículo publicado por Society for Industrial and Applied Mathematics en SIAM Journal on Optimization, disponible en línea: https://doi.org/10.1137/19M1246286

 
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Creado: Wed, 07 Feb 2024, 00:15:12 CET