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    Por favor, use este identificador para citar o enlazar este ítem:https://uvadoc.uva.es/handle/10324/74141

    Título
    Optimality conditions for weak solutions of vector optimization problems through quasi interiors and improvement sets
    Autor
    Gutiérrez Vaquero, CésarAutoridad UVA Orcid
    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
    Résumé
    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
    http://www.yokohamapublishers.jp/online2/jncav20-12.html
    Propietario de los Derechos
    Yokohama Publishers
    Idioma
    spa
    URI
    https://uvadoc.uva.es/handle/10324/74141
    Tipo de versión
    info:eu-repo/semantics/acceptedVersion
    Derechos
    openAccess
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    • DEP51 - Artículos de revista [147]
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    CG_2019_JNCA_postprint.pdf
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