Publicación:
Variants of the Ekeland variational principle for approximate proper solutions of vector equilibrium problems

Vista sencilla de ítem
dc.contributor.authorHai, L. P.
dc.contributor.authorKhanh, P. Q.
dc.contributor.authorNovo, V.
dc.contributor.authorHuerga Pastor, Lidia
dc.date.accessioned2024-05-20T11:46:42Z
dc.date.available2024-05-20T11:46:42Z
dc.date.issued2019-04-19
dc.description.abstractIn this paper, we provide variants of the Ekeland variational principle for a type of approximate proper solutions of a vector equilibrium problem, whose final space is finite dimensional and partially ordered by a polyhedral cone. Depending on the choice of an approximation set that defines these solutions, we prove that they approximate suitably exact weak efficient/proper efficient/efficient solutions of the problem. The variants of the Ekeland variational principle are obtained for an unconstrained and also for a cone-constrained vector equilibrium problem, through a nonlinear scalarization, and expressed by means of the matrix that defines the ordering cone, which makes them easier to handle. At the end, the results are applied to multiobjective optimization problems, for which a related vector variational inequality problem is defined.en
dc.description.versionversión final
dc.identifier.doihttp://doi.org/10.1007/s10898-019-00772-3
dc.identifier.issn1573-2916
dc.identifier.urihttps://hdl.handle.net/20.500.14468/12541
dc.journal.titleJournal of Global Optimization
dc.journal.volume74
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.keywordsEkeland variational principle
dc.subject.keywordsVector equilibrium problems
dc.subject.keywordsApproximate proper solutions
dc.subject.keywordsMultiobjective optimization
dc.subject.keywordsVariational inequalities
dc.titleVariants of the Ekeland variational principle for approximate proper solutions of vector equilibrium problemses
dc.typejournal articleen
dc.typeartículoes
dspace.entity.typePublication
relation.isAuthorOfPublication6ad1603b-ae33-458c-b909-a0d8b52cbcd9
relation.isAuthorOfPublication.latestForDiscovery6ad1603b-ae33-458c-b909-a0d8b52cbcd9
Archivos
Bloque original
Mostrando 1 - 1 de 1
Miniatura
Nombre:
Huerga_Pastor_Lidia_JOGO_2019.pdf
Tamaño:
223.23 KB
Formato:
Adobe Portable Document Format
Descargar
Colecciones
Artículos y papers