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dc.contributor.authorMahmudov, Elmkhan
dc.contributor.authorDeger, Ozkan
dc.contributor.authorDemir, Sevilay
dc.date.accessioned2021-03-04T12:31:03Z
dc.date.available2021-03-04T12:31:03Z
dc.identifier.citationMahmudov E., Demir S., Deger O., "Optimization of third-order discrete and differential inclusions described by polyhedral set-valued mappings", APPLICABLE ANALYSIS, cilt.95, ss.1831-1844, 2016
dc.identifier.issn0003-6811
dc.identifier.othervv_1032021
dc.identifier.otherav_77ae0253-b8b5-45b4-b488-908de2b8e06b
dc.identifier.urihttp://hdl.handle.net/20.500.12627/82152
dc.identifier.urihttps://doi.org/10.1080/00036811.2015.1074188
dc.description.abstractThe present paper is concerned with the necessary and sufficient conditions of optimality for third-order polyhedral optimization described by polyhedral discrete and differential inclusions (PDIs). In the first part of the paper, the discrete polyhedral problem (P-D) is reduced to convex minimization problem and the necessary and sufficient condition for optimality is derived. Then the necessary and sufficient conditions of optimality for discrete-approximation problem (P-DA) are formulated using the transversality condition and approximation method for the continuous polyhedral problem (P-C) governed by PDI. On the basis on the obtained results in Section 3, we prove the sufficient conditions of optimality for the problem (P-C). It turns out that the concerned method requires some special equivalence theorem, which allow us to make a bridge between (P-D) and (P-C) problems.
dc.language.isoeng
dc.subjectMatematik
dc.subjectTemel Bilimler
dc.subjectMATEMATİK, UYGULAMALI
dc.subjectBilgisayar Bilimleri
dc.subjectTemel Bilimler (SCI)
dc.titleOptimization of third-order discrete and differential inclusions described by polyhedral set-valued mappings
dc.typeMakale
dc.relation.journalAPPLICABLE ANALYSIS
dc.contributor.departmentİstanbul Teknik Üniversitesi , Fen-Edebiyat ,
dc.identifier.volume95
dc.identifier.startpage1831
dc.identifier.endpage1844
dc.contributor.firstauthorID2368592


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