Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/61531
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dc.contributorDepartment of Applied Mathematicsen_US
dc.creatorYang, Xen_US
dc.creatorChen, Zen_US
dc.creatorZhou, Jen_US
dc.date.accessioned2016-12-19T08:56:12Z-
dc.date.available2016-12-19T08:56:12Z-
dc.identifier.issn0022-3239en_US
dc.identifier.urihttp://hdl.handle.net/10397/61531-
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.rights© Springer Science+Business Media New York 2016en_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/s10957-016-0914-1en_US
dc.subjectGeneralized second-order derivativeen_US
dc.subjectGeneralized semi-infinite programen_US
dc.subjectLower-order exact penalizationen_US
dc.subjectOptimality conditionsen_US
dc.subjectSemi-infinite programmingen_US
dc.titleOptimality conditions for semi-infinite and generalized semi-infinite programs via lower order exact penalty functionsen_US
dc.typeJournal/Magazine Articleen_US
dc.identifier.spage984en_US
dc.identifier.epage1012en_US
dc.identifier.volume169en_US
dc.identifier.issue3en_US
dc.identifier.doi10.1007/s10957-016-0914-1en_US
dcterms.abstractIn this paper, we will study optimality conditions of semi-infinite programs and generalized semi-infinite programs by employing lower order exact penalty functions and the condition that the generalized second-order directional derivative of the constraint function at the candidate point along any feasible direction for the linearized constraint set is non-positive. We consider three types of penalty functions for semi-infinite program and investigate the relationship among the exactness of these penalty functions. We employ lower order integral exact penalty functions and the second-order generalized derivative of the constraint function to establish optimality conditions for semi-infinite programs. We adopt the exact penalty function technique in terms of a classical augmented Lagrangian function for the lower-level problems of generalized semi-infinite programs to transform them into standard semi-infinite programs and then apply our results for semi-infinite programs to derive the optimality condition for generalized semi-infinite programs. We will give various examples to illustrate our results and assumptions.en_US
dcterms.accessRightsopen accessen_US
dcterms.bibliographicCitationJournal of optimization theory and applications, Mar. 2016, v. 169, no. 3, p. 984-1012en_US
dcterms.isPartOfJournal of optimization theory and applicationsen_US
dcterms.issued2016-03-
dc.identifier.isiWOS:000376293800014-
dc.identifier.scopus2-s2.0-84961159241-
dc.identifier.ros2016000196-
dc.identifier.eissn1573-2878en_US
dc.identifier.rosgroupid2016000195-
dc.description.ros2016-2017 > Academic research: refereed > Publication in refereed journalen_US
dc.description.validate201804_a bcmaen_US
dc.description.oaAccepted Manuscripten_US
dc.identifier.FolderNumberAMA-0574-
dc.description.fundingSourceRGCen_US
dc.description.pubStatusPublisheden_US
dc.identifier.OPUS6626817-
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