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Limit Behavior of Approximate Proper Solutions in Vector Optimization

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dc.contributor.authorGutiérrez, C.
dc.contributor.authorNovo, V.
dc.contributor.authorHuerga Pastor, Lidia
dc.contributor.authorSama Meige, Miguel Ángel
dc.date.accessioned2024-05-20T11:46:56Z
dc.date.available2024-05-20T11:46:56Z
dc.date.issued2019
dc.description.abstractIn the framework of a vector optimization problem, we provide conditions for approximate proper solutions to tend to exact weak/efficient/proper solutions when the error tends to zero. This limit behavior depends on an approximation set that is used to define the approximate proper efficient solutions. We also study the special case when the final space of the vector optimization problem is normed, and more particularly, when it is finite dimensional. In these specific frameworks, we provide several explicit constructions of dilating ordering cones and approximation sets that lead to the desired limit behavior. In proving our results, new relationships between different concepts of approximate proper efficiency are stated.en
dc.description.versionversión final
dc.identifier.doihttp://doi.org/10.1137/19M1246286
dc.identifier.issn1095-7189
dc.identifier.urihttps://hdl.handle.net/20.500.14468/12546
dc.journal.issue4
dc.journal.titleSIAM Journal on Optimization
dc.journal.volume29
dc.language.isoen
dc.publisherSociety for Industrial and Applied Mathematics
dc.relation.centerE.T.S. de Ingenieros Industriales
dc.relation.departmentMatemática Aplicada I
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0
dc.subject.keywordsvector optimization
dc.subject.keywordsapproximate efficiency
dc.subject.keywordsapproximate proper efficiency
dc.subject.keywordsdilating cone
dc.subject.keywordsapproximating family of cones
dc.titleLimit Behavior of Approximate Proper Solutions in Vector Optimizationes
dc.typejournal articleen
dc.typeartículoes
dspace.entity.typePublication
relation.isAuthorOfPublication6ad1603b-ae33-458c-b909-a0d8b52cbcd9
relation.isAuthorOfPublication8d481509-dd79-41a2-bf87-6e156cab5036
relation.isAuthorOfPublication.latestForDiscovery6ad1603b-ae33-458c-b909-a0d8b52cbcd9
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