Continuity of a scalarization in vector optimization with variable ordering structures and application to convergence of minimal solutions

Huerga, Lidia, Jiménez. B., Novo, V. y Vílchez, A. . (2022) Continuity of a scalarization in vector optimization with variable ordering structures and application to convergence of minimal solutions. Optimization

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Título Continuity of a scalarization in vector optimization with variable ordering structures and application to convergence of minimal solutions
Autor(es) Huerga, Lidia
Jiménez. B.
Novo, V.
Vílchez, A.
Materia(s) Matemáticas
Abstract We consider a scalarization function, which was introduced by Eichfelder [Variable ordering structures in vector optimization. Berlin: Springer-Verlag; 2014 (Series in vector optimization)], based on the oriented distance of Hiriart–Urruty with respect to a general variable ordering structure (VOS). We first study the continuity of the composition of a set-valued map with the oriented distance. Then, using the obtained results, we study the continuity of the scalarization function by extending some concepts of continuity for cone-valued maps. As an application, convergence in the sense of Painlevé–Kuratowski of sets of weak minimal solutions is provided, with the vector criterion and a VOS. Illustrative examples are also given.
Palabras clave Scalarization in optimization
continuity
variable ordering structure
oriented distance
Painlevé–Kuratowski convergence
Editor(es) Taylor & Francis
Fecha 2022-05-30
Formato application/mp3
Identificador bibliuned:DptoMAI-ETSI-Articulos-Lhuerga-0001
http://e-spacio.uned.es/fez/view/bibliuned:DptoMAI-ETSI-Articulos-Lhuerga-0001
DOI - identifier 10.1080/02331934.2022.2081569
ISSN - identifier 1029-4945
Nombre de la revista Optimization
Número de Volumen 72
Número de Issue 4
Página inicial 957
Página final 978
Publicado en la Revista 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 Taylor & Francisin "Optimization, 72:4, 957-978," in 2022 available at: https://doi.org/10.1177/00131644221087986
Notas adicionales Este es el manuscrito aceptado del artículo publicado por Taylor & Francisen "Optimization, 72:4, 957-978," en 2022, disponible en línea: https://doi.org/10.1080/02331934.2022.2081569

 
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Creado: Tue, 06 Feb 2024, 23:24:09 CET