Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/68643
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Applied Mathematics | en_US |
dc.creator | Burachik, RS | en_US |
dc.creator | Yang, XQ | en_US |
dc.creator | Zhou, YY | en_US |
dc.date.accessioned | 2017-09-26T02:16:58Z | - |
dc.date.available | 2017-09-26T02:16:58Z | - |
dc.identifier.issn | 0022-3239 | en_US |
dc.identifier.uri | http://hdl.handle.net/10397/68643 | - |
dc.language.iso | en | en_US |
dc.publisher | Springer | en_US |
dc.rights | © Springer Science+Business Media New York 2017 | en_US |
dc.rights | This 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/s10957-017-1091-6 | en_US |
dc.subject | Semi-infinite programming | en_US |
dc.subject | Augmented Lagrange multiplier | en_US |
dc.subject | Optimality conditions | en_US |
dc.subject | Sharp Lagrangian | en_US |
dc.subject | A valley at 0 augmenting function | en_US |
dc.title | Existence of augmented lagrange multipliers for semi-infinite programming problems | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.spage | 471 | en_US |
dc.identifier.epage | 503 | en_US |
dc.identifier.volume | 173 | en_US |
dc.identifier.issue | 2 | en_US |
dc.identifier.doi | 10.1007/s10957-017-1091-6 | en_US |
dcterms.abstract | Using 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.accessRights | open access | en_US |
dcterms.bibliographicCitation | Journal of optimization theory and applications, May 2017, v. 173, no. 2, p. 471-503 | en_US |
dcterms.isPartOf | Journal of optimization theory and applications | en_US |
dcterms.issued | 2017-05 | - |
dc.identifier.isi | WOS:000399660500006 | - |
dc.identifier.scopus | 2-s2.0-85014577898 | - |
dc.source.type | Article | - |
dc.identifier.eissn | 1573-2878 | en_US |
dc.description.oa | Accepted Manuscript | en_US |
dc.identifier.FolderNumber | AMA-0493 | - |
dc.description.fundingSource | RGC | en_US |
dc.description.pubStatus | Published | en_US |
dc.identifier.OPUS | 6728551 | - |
Appears in Collections: | Journal/Magazine Article |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Yang_Existence_Augmented_Lagrange.pdf | Pre-Published version | 888.41 kB | Adobe PDF | View/Open |
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