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New Notions of Proper Efficiency in Set Optimization with the Set Criterion

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dc.contributor.authorJiménez, B.
dc.contributor.authorNovo, V.
dc.contributor.authorHuerga Pastor, Lidia
dc.date.accessioned2024-05-20T11:46:53Z
dc.date.available2024-05-20T11:46:53Z
dc.date.issued2022-09-17
dc.description.abstractIn this paper, we introduce new notions of proper efficiency in the sense of Henig for a set optimization problem by using the set criterion of solution. The relationships between them are studied. Also, we compare these concepts with the homologous ones given by considering the vector criterion. Finally, a Lagrange multiplier rule for Henig proper solutions of a set optimization problem with a cone constraint is obtained under convexity hypotheses. Illustrative examples are also given.en
dc.description.versionversión final
dc.identifier.doihttp://doi.org/10.1007/s10957-022-02088-x
dc.identifier.issn1573-2878
dc.identifier.urihttps://hdl.handle.net/20.500.14468/12545
dc.journal.titleJournal of Optimization Theory and Applications
dc.journal.volume195
dc.language.isoen
dc.publisherSpringer Nature
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.keywordsSet optimization
dc.subject.keywordsSet criterion of solution
dc.subject.keywordsVector criterion of solution
dc.subject.keywordsHenig proper efficiency
dc.subject.keywordsLagrange multipliers
dc.titleNew Notions of Proper Efficiency in Set Optimization with the Set Criteriones
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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