Variants of the Ekeland variational principle for approximate proper solutions of vector equilibrium problems

Hai, L. P., Huerga, Lidia, Khanh, P. Q. y Novo, V. . (2019) Variants of the Ekeland variational principle for approximate proper solutions of vector equilibrium problems. Journal of Global Optimization

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Título Variants of the Ekeland variational principle for approximate proper solutions of vector equilibrium problems
Autor(es) Hai, L. P.
Huerga, Lidia
Khanh, P. Q.
Novo, V.
Materia(s) Matemáticas
Abstract In this paper, we provide variants of the Ekeland variational principle for a type of approximate proper solutions of a vector equilibrium problem, whose final space is finite dimensional and partially ordered by a polyhedral cone. Depending on the choice of an approximation set that defines these solutions, we prove that they approximate suitably exact weak efficient/proper efficient/efficient solutions of the problem. The variants of the Ekeland variational principle are obtained for an unconstrained and also for a cone-constrained vector equilibrium problem, through a nonlinear scalarization, and expressed by means of the matrix that defines the ordering cone, which makes them easier to handle. At the end, the results are applied to multiobjective optimization problems, for which a related vector variational inequality problem is defined.
Palabras clave Ekeland variational principle
Vector equilibrium problems
Approximate proper solutions
Multiobjective optimization
Variational inequalities
Editor(es) Springer Nature
Fecha 2019-04-19
Formato application/pdf
Identificador bibliuned:DptoMAI-ETSI-Articulos-Lhuerga-0005
http://e-spacio.uned.es/fez/view/bibliuned:DptoMAI-ETSI-Articulos-Lhuerga-0005
DOI - identifier 10.1007/s10898-019-00772-3
ISSN - identifier 1573-2916
Nombre de la revista Journal of Global Optimization
Número de Volumen 74
Página inicial 361
Página final 382
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 Nature in Journal of Global Optimization, available at: https://doi.org/10.1007/s10898-019-00772-3
Notas adicionales Este es el manuscrito aceptado del artículo publicado por Springer Nature en Journal of Global Optimization, disponible en línea: https://doi.org/10.1007/s10898-019-00772-3

 
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Creado: Wed, 07 Feb 2024, 00:02:16 CET