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Continuity of a scalarization in vector optimization with variable ordering structures and application to convergence of minimal solutions

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dc.contributor.authorJiménez, B.
dc.contributor.authorNovo, V.
dc.contributor.authorVílchez, A.
dc.contributor.authorHuerga Pastor, Lidia
dc.date.accessioned2024-05-20T11:46:58Z
dc.date.available2024-05-20T11:46:58Z
dc.date.issued2022-05-30
dc.description.abstractWe consider a scalarization function, which was introduced by Eichfelder [Variable ordering structures in vector optimization. Berlin: Springer-Verlag; 2014 (Series in vector optimization)], based on the oriented distance of Hiriart–Urruty with respect to a general variable ordering structure (VOS). We first study the continuity of the composition of a set-valued map with the oriented distance. Then, using the obtained results, we study the continuity of the scalarization function by extending some concepts of continuity for cone-valued maps. As an application, convergence in the sense of Painlevé–Kuratowski of sets of weak minimal solutions is provided, with the vector criterion and a VOS. Illustrative examples are also given.en
dc.description.versionversión final
dc.identifier.doihttp://doi.org/10.1080/02331934.2022.2081569
dc.identifier.issn1029-4945
dc.identifier.urihttps://hdl.handle.net/20.500.14468/12547
dc.journal.issue4
dc.journal.titleOptimization
dc.journal.volume72
dc.language.isoen
dc.publisherTaylor & Francis
dc.relation.centerE.T.S. de Ingenieros Industriales
dc.relation.departmentMatemática Aplicada I
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
dc.subject.keywordsScalarization in optimization
dc.subject.keywordscontinuity
dc.subject.keywordsvariable ordering structure
dc.subject.keywordsoriented distance
dc.subject.keywordsPainlevé–Kuratowski convergence
dc.titleContinuity of a scalarization in vector optimization with variable ordering structures and application to convergence of minimal solutionses
dc.typejournal articleen
dc.typeartículoes
dspace.entity.typePublication
relation.isAuthorOfPublication6ad1603b-ae33-458c-b909-a0d8b52cbcd9
relation.isAuthorOfPublication.latestForDiscovery6ad1603b-ae33-458c-b909-a0d8b52cbcd9
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