Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/5884
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Applied Mathematics | - |
dc.creator | Huang, XX | - |
dc.creator | Yang, XQ | - |
dc.date.accessioned | 2014-12-11T08:24:26Z | - |
dc.date.available | 2014-12-11T08:24:26Z | - |
dc.identifier.issn | 1052-6234 | - |
dc.identifier.uri | http://hdl.handle.net/10397/5884 | - |
dc.language.iso | en | en_US |
dc.publisher | Society for Industrial and Applied Mathematics | en_US |
dc.rights | © 2002 Society for Industrial and Applied Mathematics | en_US |
dc.subject | Multiobjective optimization | en_US |
dc.subject | Nonlinear Lagrangian function | en_US |
dc.subject | Duality | en_US |
dc.subject | Exact penalization | en_US |
dc.subject | Stability | en_US |
dc.title | Nonlinear Lagrangian for multiobjective optimization and applications to duality and exact penalization | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.description.otherinformation | Author name used in this publication: Yang, X. Q. | en_US |
dc.identifier.spage | 675 | - |
dc.identifier.epage | 692 | - |
dc.identifier.volume | 13 | - |
dc.identifier.issue | 3 | - |
dc.identifier.doi | 10.1137/S1052623401384850 | - |
dcterms.abstract | Duality and penalty methods are popular in optimization. The study on duality and penalty methods for nonconvex multiobjective optimization problems is very limited. In this paper, we introduce vector-valued nonlinear Lagrangian and penalty functions and formulate nonlinear Lagrangian dual problems and nonlinear penalty problems for multiobjective constrained optimization problems. We establish strong duality and exact penalization results. The strong duality is an inclusion between the set of infimum points of the original multiobjective constrained optimization problem and that of the nonlinear Lagrangian dual problem. Exact penalization is established via a generalized calmness-type condition. | - |
dcterms.accessRights | open access | en_US |
dcterms.bibliographicCitation | SIAM journal on optimization, 2002, v. 13, no. 3, p. 675–692 | - |
dcterms.isPartOf | SIAM Journal on optimization | - |
dcterms.issued | 2002 | - |
dc.identifier.isi | WOS:000181475800003 | - |
dc.identifier.scopus | 2-s2.0-0042158453 | - |
dc.identifier.eissn | 1095-7189 | - |
dc.identifier.rosgroupid | r15733 | - |
dc.description.ros | 2002-2003 > Academic research: refereed > Publication in refereed journal | - |
dc.description.oa | Version of Record | en_US |
dc.identifier.FolderNumber | OA_IR/PIRA | en_US |
dc.description.pubStatus | Published | en_US |
Appears in Collections: | Journal/Magazine Article |
Files in This Item:
File | Description | Size | Format | |
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Huang_Nonlinear_Lagrangian_Duality.pdf | 206.32 kB | Adobe PDF | View/Open |
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