Publicación: Continuity of a scalarization in vector optimization with variable ordering structures and application to convergence of minimal solutions
dc.contributor.author | Jiménez, B. | |
dc.contributor.author | Novo, V. | |
dc.contributor.author | Vílchez, A. | |
dc.contributor.author | Huerga Pastor, Lidia | |
dc.date.accessioned | 2024-05-20T11:46:58Z | |
dc.date.available | 2024-05-20T11:46:58Z | |
dc.date.issued | 2022-05-30 | |
dc.description.abstract | We consider a scalarization function, which was introduced by Eichfelder [Variable ordering structures in vector optimization. Berlin: Springer-Verlag; 2014 (Series in vector optimization)], based on the oriented distance of Hiriart–Urruty with respect to a general variable ordering structure (VOS). We first study the continuity of the composition of a set-valued map with the oriented distance. Then, using the obtained results, we study the continuity of the scalarization function by extending some concepts of continuity for cone-valued maps. As an application, convergence in the sense of Painlevé–Kuratowski of sets of weak minimal solutions is provided, with the vector criterion and a VOS. Illustrative examples are also given. | en |
dc.description.version | versión final | |
dc.identifier.doi | 10.1080/02331934.2022.2081569 | |
dc.identifier.issn | 1029-4945 | |
dc.identifier.uri | https://hdl.handle.net/20.500.14468/12547 | |
dc.journal.issue | 4 | |
dc.journal.title | Optimization | |
dc.journal.volume | 72 | |
dc.language.iso | en | |
dc.publisher | Taylor & Francis | |
dc.relation.center | E.T.S. de Ingenieros Industriales | |
dc.relation.department | Matemática Aplicada I | |
dc.rights | Atribución-NoComercial-SinDerivadas 4.0 Internacional | |
dc.rights | info:eu-repo/semantics/openAccess | |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0 | |
dc.subject.keywords | Scalarization in optimization | |
dc.subject.keywords | continuity | |
dc.subject.keywords | variable ordering structure | |
dc.subject.keywords | oriented distance | |
dc.subject.keywords | Painlevé–Kuratowski convergence | |
dc.title | Continuity of a scalarization in vector optimization with variable ordering structures and application to convergence of minimal solutions | es |
dc.type | artículo | es |
dc.type | journal article | en |
dspace.entity.type | Publication | |
relation.isAuthorOfPublication | 6ad1603b-ae33-458c-b909-a0d8b52cbcd9 | |
relation.isAuthorOfPublication.latestForDiscovery | 6ad1603b-ae33-458c-b909-a0d8b52cbcd9 |
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