Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/68643
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dc.contributorDepartment of Applied Mathematicsen_US
dc.creatorBurachik, RSen_US
dc.creatorYang, XQen_US
dc.creatorZhou, YYen_US
dc.date.accessioned2017-09-26T02:16:58Z-
dc.date.available2017-09-26T02:16:58Z-
dc.identifier.issn0022-3239en_US
dc.identifier.urihttp://hdl.handle.net/10397/68643-
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.rights© Springer Science+Business Media New York 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/s10957-017-1091-6en_US
dc.subjectSemi-infinite programmingen_US
dc.subjectAugmented Lagrange multiplieren_US
dc.subjectOptimality conditionsen_US
dc.subjectSharp Lagrangianen_US
dc.subjectA valley at 0 augmenting functionen_US
dc.titleExistence of augmented lagrange multipliers for semi-infinite programming problemsen_US
dc.typeJournal/Magazine Articleen_US
dc.identifier.spage471en_US
dc.identifier.epage503en_US
dc.identifier.volume173en_US
dc.identifier.issue2en_US
dc.identifier.doi10.1007/s10957-017-1091-6en_US
dcterms.abstractUsing an augmented Lagrangian approach, we study the existence of augmented Lagrange multipliers of a semi-infinite programming problem and discuss their characterizations in terms of saddle points. In the case of a sharp Lagrangian, we obtain a first-order necessary condition for the existence of an augmented Lagrange multiplier for the semi-infinite programming problem and some first-order sufficient conditions by assuming inf-compactness of the data functions and the extended Mangasarian-Fromovitz constraint qualification. Using a valley at 0 augmenting function and assuming suitable second-order sufficient conditions, we obtain the existence of an augmented Lagrange multiplier for the semi-infinite programming problem.en_US
dcterms.accessRightsopen accessen_US
dcterms.bibliographicCitationJournal of optimization theory and applications, May 2017, v. 173, no. 2, p. 471-503en_US
dcterms.isPartOfJournal of optimization theory and applicationsen_US
dcterms.issued2017-05-
dc.identifier.isiWOS:000399660500006-
dc.identifier.scopus2-s2.0-85014577898-
dc.source.typeArticle-
dc.identifier.eissn1573-2878en_US
dc.description.oaAccepted Manuscripten_US
dc.identifier.FolderNumberAMA-0493-
dc.description.fundingSourceRGCen_US
dc.description.pubStatusPublisheden_US
dc.identifier.OPUS6728551-
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