New Notions of Proper Efficiency in Set Optimization with the Set Criterion

Huerga, Lidia, Jiménez. B. y Novo, V. . (2022) New Notions of Proper Efficiency in Set Optimization with the Set Criterion. Journal of Optimization Theory and Applications

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Título New Notions of Proper Efficiency in Set Optimization with the Set Criterion
Autor(es) Huerga, Lidia
Jiménez. B.
Novo, V.
Materia(s) Matemáticas
Abstract In this paper, we introduce new notions of proper efficiency in the sense of Henig for a set optimization problem by using the set criterion of solution. The relationships between them are studied. Also, we compare these concepts with the homologous ones given by considering the vector criterion. Finally, a Lagrange multiplier rule for Henig proper solutions of a set optimization problem with a cone constraint is obtained under convexity hypotheses. Illustrative examples are also given.
Palabras clave Set optimization
Set criterion of solution
Vector criterion of solution
Henig proper efficiency
Lagrange multipliers
Editor(es) Springer Nature
Fecha 2022-09-17
Formato application/pdf
Identificador bibliuned:DptoMAI-ETSI-Articulos-Lhuerga-0002
http://e-spacio.uned.es/fez/view/bibliuned:DptoMAI-ETSI-Articulos-Lhuerga-0002
DOI - identifier 10.1007/s10957-022-02088-x
ISSN - identifier 1573-2878
Nombre de la revista Journal of Optimization Theory and Applications
Número de Volumen 195
Página inicial 878
Página final 902
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/s10957-022-02088-x
Notas adicionales Este es el manuscrito aceptado del artículo publicado por Springer Nature en Journal of Optimization Theory and Applications en Abril de 2023, disponible en línea: https://doi.org/10.1007/s10957-022-02088-x

 
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Creado: Tue, 06 Feb 2024, 23:42:33 CET