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On proper minimality in set optimization

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dc.contributor.authorHuerga Pastor, Lidia
dc.contributor.authorMiglierina, Enrico
dc.contributor.authorMolho, Elena
dc.contributor.authorNovo, Vicente
dc.contributor.orcidhttps://orcid.org/0000-0003-3493-8198
dc.contributor.orcidhttps://orcid.org/0000-0001-9259-8916
dc.contributor.orcidhttps://orcid.org/0000-0001-9033-3180
dc.date.accessioned2024-10-10T07:24:58Z
dc.date.available2024-10-10T07:24:58Z
dc.date.issued2023
dc.descriptionThe registered version of this article, first published in “Optim Lett 18, 513–528 (2024", is available online at the publisher's website: Springer, https://doi.org/10.1007/s11590-023-02005-9 La versión registrada de este artículo, publicado por primera vez en “Optim Lett 18, 513–528 (2024", está disponible en línea en el sitio web del editor: Springer, https://doi.org/10.1007/s11590-023-02005-9
dc.description.abstractThe aim of this paper is to extend some notions of proper minimality from vector optimization to set optimization. In particular, we focus our attention on the concepts of Henig and Geoffrion proper minimality, which are well-known in vector optimization. We introduce a generalization of both of them in set optimization with finite dimensional spaces, by considering also a special class of polyhedral ordering cone. In this framework, we prove that these two notions are equivalent, as it happens in the vector optimization context, where this property is well-known. Then, we study a characterization of these proper minimal points through nonlinear scalarization, without considering convexity hypotheses.en
dc.description.versionversión final
dc.identifier.citationHuerga, L., Miglierina, E., Molho, E., .; Novo, V. On proper minimality in set optimization. Optimization Letters 18, 513–528 (2024). https://doi.org/10.1007/s11590-023-02005-9
dc.identifier.doihttps://doi.org/10.1007/s11590-023-02005-9
dc.identifier.issn1862-4472 | eISSN 1862-4480
dc.identifier.urihttps://hdl.handle.net/20.500.14468/23985
dc.journal.titleOptimization Letters
dc.journal.volume18
dc.language.isoen
dc.page.final528
dc.page.initial513
dc.publisherSpringer
dc.relation.centerFacultad de Ciencias
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
dc.subject12 Matemáticas
dc.subject.keywordsset optimizationen
dc.subject.keywordshenig proper minimalityen
dc.subject.keywordsgeofrion proper minimalityen
dc.subject.keywordsnonlinear scalarizationen
dc.titleOn proper minimality in set optimizationen
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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