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Título
Optimality conditions for weak solutions of vector optimization problems through quasi interiors and improvement sets
Autor
Año del Documento
2019
Editorial
Yokohama Publishers
Descripción
Producción Científica
Documento Fuente
Journal of Nonlinear and Convex Analysis, 2019, vol. 20, n. 12, p. 2507-2523
Resumen
This work concerns with a vector optimization problem with set-valued mappings. In solving this problem, weakly efficient solutions with respect to the so-called vector criterion are considered. These solutions are defined via the notion of quasi interior, in order to provide useful results to certain problems where the topological and algebraic interior of the ordering cone is empty. Moreover, the domination set that defines the domination structure of the problem is assumed to be free disposal with respect to a convex cone. In this setting, optimality conditions via linear scalarization results and Lagrangian multiplier theorems are stated. Some of them improve several recent ones of the literature, since they are obtained under weaker assumptions
Palabras Clave
Set-valued optimization
Free disposal set
Weak efficiency
Quasi interior
Quasi-relative interior
Linear scalarization
Nearly subconvexlikeness
Lagrangian optimality condition
ISSN
1345-4773
Revisión por pares
SI
Patrocinador
This research was partially supported by the Ministerio de Economía y Competitividad (Spain) under project MTM2015-68103-P
Version del Editor
Propietario de los Derechos
Yokohama Publishers
Idioma
spa
Tipo de versión
info:eu-repo/semantics/acceptedVersion
Derechos
openAccess
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