Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/80844
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dc.contributorDepartment of Applied Mathematicsen_US
dc.creatorLi, MHen_US
dc.creatorMeng, KWen_US
dc.creatorYang, XQen_US
dc.date.accessioned2019-06-20T08:29:55Z-
dc.date.available2019-06-20T08:29:55Z-
dc.identifier.issn0025-5610en_US
dc.identifier.urihttp://hdl.handle.net/10397/80844-
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.rights© Springer-Verlag GmbH Germany and Mathematical Optimization Society 2017en_US
dc.rightsThis version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use (https://www.springernature.com/gp/open-research/policies/accepted-manuscript-terms), but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s10107-017-1200-1en_US
dc.subjectError bound modulusen_US
dc.subjectLocally Lipschitzen_US
dc.subjectOuter limiting subdifferentialen_US
dc.subjectSupport functionen_US
dc.subjectEnd seten_US
dc.subjectLower C1 functionen_US
dc.titleOn error bound moduli for locally Lipschitz and regular functionsen_US
dc.typeJournal/Magazine Articleen_US
dc.identifier.spage463en_US
dc.identifier.epage487en_US
dc.identifier.volume171en_US
dc.identifier.issue1-2en_US
dc.identifier.doi10.1007/s10107-017-1200-1en_US
dcterms.abstractIn this paper we study local error bound moduli for a locally Lipschitz and regular function via outer limiting subdifferential sets. We show that the distance from 0 to the outer limiting subdifferential of the support function of the subdifferential set, which is essentially the distance from 0 to the end set of the subdifferential set, is an upper estimate of the local error bound modulus. This upper estimate becomes tight for a convex function under some regularity conditions. We show that the distance from 0 to the outer limiting subdifferential set of a lower C1 function is equal to the local error bound modulus.en_US
dcterms.accessRightsopen accessen_US
dcterms.bibliographicCitationMathematical programming, Sept. 2018, v. 171, no. 1-2, p. 463-487en_US
dcterms.isPartOfMathematical programmingen_US
dcterms.issued2018-09-
dc.identifier.ros2017007274-
dc.description.validate201906 bcrcen_US
dc.description.oaAccepted Manuscripten_US
dc.identifier.FolderNumberAMA-0460-
dc.description.fundingSourceSelf-fundeden_US
dc.description.pubStatusPublisheden_US
dc.identifier.OPUS6791921-
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