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Approximate solutions of vector optimization problems via improvement sets in real linear spaces

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dc.contributor.authorGutiérrez, C.
dc.contributor.authorJiménez, B.
dc.contributor.authorNovo, V.
dc.contributor.authorHuerga Pastor, Lidia
dc.date.accessioned2024-05-20T11:46:47Z
dc.date.available2024-05-20T11:46:47Z
dc.date.issued2018-04
dc.description.abstractWe deal with a constrained vector optimization problem between real linear spaces without assuming any topology and by considering an ordering defined through an improvement set E. We study E-optimal and weak E-optimal solutions and also proper E-optimal solutions in the senses of Benson and Henig. We relate these types of solutions and we characterize them through approximate solutions of scalar optimization problems via linear scalarizations and nearly E-subconvexlikeness assumptions. Moreover, in the particular case when the feasible set is defined by a cone-constraint, we obtain characterizations by means of Lagrange multiplier rules. The use of improvement sets allows us to unify and to extend several notions and results of the literature. Illustrative examples are also given.en
dc.description.versionversión final
dc.identifier.doihttp://doi.org/10.1007/s10898-017-0593-y
dc.identifier.issn1573-2916
dc.identifier.urihttps://hdl.handle.net/20.500.14468/12543
dc.journal.titleJournal of Global Optimization
dc.journal.volume70
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.keywordsVector optimization
dc.subject.keywordsImprovement set
dc.subject.keywordsApproximate weak efficiency
dc.subject.keywordsApproximate proper efficiency
dc.subject.keywordsNearly E-subconvexlikeness
dc.subject.keywordsLinear scalarization
dc.subject.keywordsLagrange multipliers
dc.subject.keywordsalgebraic interior
dc.subject.keywordsVector closure
dc.titleApproximate solutions of vector optimization problems via improvement sets in real linear spaceses
dc.typejournal articleen
dc.typeartículoes
dspace.entity.typePublication
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