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Necessary Conditions for Nondominated Solutions in Vector Optimization

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dc.contributor.authorBao, Truong Q.
dc.contributor.authorJiménez, B.
dc.contributor.authorNovo, V.
dc.contributor.authorHuerga Pastor, Lidia
dc.date.accessioned2024-05-20T11:46:44Z
dc.date.available2024-05-20T11:46:44Z
dc.date.issued2020-08-07
dc.description.abstractIn this paper, we study characterizations and necessary conditions for nondominated points of sets and nondominated solutions of vector-valued functions in vector optimization with variable domination structure. We study not only the case, where the intersection of all the involved domination sets has a nonzero element, but also the case, where it might be the singleton. While the first case has been studied earlier, the second case has not, to the best of our knowledge, done yet. Our results extend and improve the existing results in vector optimization with a fixed ordering cone and with a variable ordering structure.en
dc.description.versionversión final
dc.identifier.doi10.1007/s10957-020-01732-8
dc.identifier.issn1573-2878
dc.identifier.urihttps://hdl.handle.net/20.500.14468/12542
dc.journal.titleJournal of Optimization Theory and Applications
dc.journal.volume186
dc.language.isoen
dc.publisherSpringer Nature
dc.relation.centerE.T.S. de Ingenieros Industriales
dc.relation.departmentMatemática Aplicada I
dc.rightsAtribución-NoComercial-SinDerivadas 4.0 Internacional
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0
dc.subject.keywordsVector optimization
dc.subject.keywordsDomination structures
dc.subject.keywordsNondominated solutions
dc.subject.keywordsGeneralized differentiation
dc.subject.keywordsNonlinear scalarization functions
dc.titleNecessary Conditions for Nondominated Solutions in Vector Optimizationes
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
relation.isAuthorOfPublication6ad1603b-ae33-458c-b909-a0d8b52cbcd9
relation.isAuthorOfPublication.latestForDiscovery6ad1603b-ae33-458c-b909-a0d8b52cbcd9
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