A unified concept of approximate and quasi efficient solutions and associated subdifferentials in multiobjective optimization

Huerga, Lidia, Jiménez, B., Luc, D. T. y Novo, V. . (2020) A unified concept of approximate and quasi efficient solutions and associated subdifferentials in multiobjective optimization. Mathematical Programming

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Título A unified concept of approximate and quasi efficient solutions and associated subdifferentials in multiobjective optimization
Autor(es) Huerga, Lidia
Jiménez, B.
Luc, D. T.
Novo, V.
Materia(s) Matemáticas
Abstract In this paper, we introduce some new notions of quasi efficiency and quasi proper efficiency for multiobjective optimization problems that reduce to the most important concepts of approximate and quasi efficient solutions given up to now. We establish main properties and provide characterizations for these solutions by linear and nonlinear scalarizations. With the help of quasi efficient solutions, a generalized subdifferential of a vector mapping is introduced, which generates a number of approximate subdifferentials frequently used in optimization in a unifying way. The generalized subdifferential is related to the classical subdifferential of real functions by the method of scalarization. An application of generalized subdifferential to express optimality conditions for quasi efficient solutions is also given.
Palabras clave Multiobjective optimization
Quasi efficiency
Linear scalarization
Nonlinear scalarization
Vector subdifferential
Editor(es) Springer Nature
Fecha 2020-11-18
Formato application/pdf
Identificador bibliuned:DptoMAI-ETSI-Articulos-Lhuerga-0003
http://e-spacio.uned.es/fez/view/bibliuned:DptoMAI-ETSI-Articulos-Lhuerga-0003
DOI - identifier 10.1007/s10107-020-01597-9
ISSN - identifier 1436-4646
Nombre de la revista Mathematical Programming
Número de Volumen 189
Página inicial 379
Página final 407
Publicado en la Revista Mathematical Programming
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 Mathematical Programming, available at: https://doi.org/10.1177/00131644221087986
Notas adicionales Este es el manuscrito aceptado del artículo publicado por Springer Nature en Mathematical Programming, disponible en línea: https://doi.org/10.1007/s10107-020-01597-9

 
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Creado: Tue, 06 Feb 2024, 23:51:09 CET