Lipschitz lower semicontinuity moduli for linear inequality systems

Cánovas, M. J.; Gisbert Frances, María Jesús; Henrion, R.; Parra, J.

dc.contributor.author	Cánovas, M. J.
dc.contributor.author	Gisbert Frances, María Jesús
dc.contributor.author	Henrion, R.
dc.contributor.author	Parra, J.
dc.date.accessioned	2021-07-05T09:39:42Z
dc.date.available	2022-10-15T23:00:04Z
dc.date.issued	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.identifier.uri	http://hdl.handle.net/10016/32996
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.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
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.identifier.doi	https://doi.org/10.1016/j.jmaa.2020.124313
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