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Duality for set-valued multiobjective optimization problems, part 1: Mathematical programming

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dc.contributor.authorAzimov, A. Y.
dc.date.accessioned2026-06-27T13:06:09Z
dc.date.issued2008
dc.description.abstractThe duality of multiobjective problems is studied with the help of the apparatus of conjugate set-valued mappings introduced by the author. In this paper (Part 1), a duality theory is developed for set-valued mappings, which is then used to derive dual relations for some general multiobjective optimization problems which include convex programming and optimal control problems. Using this result, in the companion paper (Part 2), duality theorems are proved for multiobjective quasilinear and linear optimal control problems. The theory is applied to get dual relations for some multiobjective optimal control problem.en
dc.description.urihttps://doi.org/10.1007/s10957-007-9313-y
dc.identifier.doi10.1007/s10957-007-9313-y
dc.identifier.eissn1573-2878
dc.identifier.endpage74
dc.identifier.issn0022-3239
dc.identifier.issue1
dc.identifier.startpage61
dc.identifier.urihttps://hdl.handle.net/20.500.14981/49748
dc.identifier.volume137
dc.identifier.wos000254439200006
dc.language.isoeng
dc.publisherSPRINGER/PLENUM PUBLISHERS
dc.relation.ispartofJOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
dc.subjectconjugate set-valued mappings
dc.subjectsubdifferential of set-valued mappings
dc.subjectduality for set-valued mappings
dc.subjectperturbation methods
dc.subjectduality for multiobjective optimization problems
dc.subjectCONJUGATE DUALITY
dc.subjectVECTOR
dc.subjectTHEOREM
dc.subjectOperations Research & Management Science
dc.subjectMathematics
dc.titleDuality for set-valued multiobjective optimization problems, part 1: Mathematical programming
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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