Lipschitz lower semicontinuity moduli for linear inequality systems

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Show simple item record Cánovas, M. J. Gisbert Frances, María Jesús Henrion, R. Parra, J. 2021-07-05T09:39:42Z 2022-10-15T23:00:04Z 2020-10-15
dc.identifier.bibliographicCitation Cánovas, M., Gisbert, M., Henrion, R. & Parra, J. (2020). Lipschitz lower semicontinuity moduli for linear inequality systems. Journal of Mathematical Analysis and Applications, 490(2), 124313.
dc.identifier.issn 0022-247X
dc.description.abstract The paper is focussed on the Lipschitz lower semicontinuity of the feasible set mapping for linear (finite and infinite) inequality systems in three different perturbation frameworks: full, right-hand side and left-hand side perturbations. Inspired by [14], we introduce the Lipschitz lower semicontinuity-star as an intermediate notion between the Lipschitz lower semicontinuity and the well-known Aubin property. We provide explicit point-based formulae for the moduli (best constants) of all three Lipschitz properties in all three perturbation settings.
dc.description.sponsorship This research has been partially supported by Grants MTM2014-59179-C2-2-P and PGC2018-097960-B-C21 from MINECO/MICINN, Spain and ERDF, "A way to make Europe", European Union.
dc.format.extent 21
dc.language.iso eng
dc.publisher Elsevier
dc.rights © 2020 Elsevier Inc.
dc.rights Atribución-NoComercial-SinDerivadas 3.0 España
dc.subject.other Variational analysis
dc.subject.other Lipschitz lower semicontinuity
dc.subject.other Lipschitz modulus
dc.subject.other Aubin property
dc.subject.other Feasible set mapping
dc.subject.other Linear programming
dc.title Lipschitz lower semicontinuity moduli for linear inequality systems
dc.type article
dc.subject.eciencia Estadística
dc.rights.accessRights openAccess
dc.relation.projectID Gobierno de España. MTM2014-59179-C2-2-P
dc.relation.projectID Gobierno de España. PGC2018-097960-B-C21
dc.type.version acceptedVersion
dc.identifier.publicationfirstpage 124313
dc.identifier.publicationissue 2
dc.identifier.publicationtitle Journal of Mathematical Analysis and Applications
dc.identifier.publicationvolume 490
dc.identifier.uxxi AR/0000025767
dc.contributor.funder Ministerio de Economía y Competitividad (España)
dc.affiliation.dpto UC3M. Departamento de Estadística
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