Lipschitz lower semicontinuity moduli for linear inequality systems
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 2631 | |
dc.contributor.author | Cánovas, Maria Josefa | |
dc.contributor.author | Gisbert, María Jesús | |
dc.contributor.author | Henrion, René | |
dc.contributor.author | Parra, Juan | |
dc.date.accessioned | 2022-06-23T14:40:43Z | |
dc.date.available | 2022-06-23T14:40:43Z | |
dc.date.issued | 2019 | |
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. | eng |
dc.description.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/9215 | |
dc.identifier.uri | https://doi.org/10.34657/8253 | |
dc.language.iso | eng | |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2631 | |
dc.relation.hasversion | https://doi.org/10.3934/dcdss.2020345 | |
dc.relation.issn | 2198-5855 | |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject | Variational analysis | eng |
dc.subject | Lipschitz lower semicontinuity | eng |
dc.subject | Lipschitz modulus | eng |
dc.subject | Aubin property | eng |
dc.subject | feasible set mapping | eng |
dc.subject | linear programming | eng |
dc.subject.ddc | 510 | |
dc.title | Lipschitz lower semicontinuity moduli for linear inequality systems | eng |
dc.type | report | eng |
dc.type | Text | eng |
dcterms.extent | 21 S. | |
tib.accessRights | openAccess | |
wgl.contributor | WIAS | |
wgl.subject | Mathematik | |
wgl.type | Report / Forschungsbericht / Arbeitspapier |
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