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Sufficient optimality criteria and duality for multiobjective variational control problems with G-type I objective and constraint functions

dc.contributor.authorAntczak, Tadeusz
dc.date.accessioned2015-05-05T08:23:28Z
dc.date.available2015-05-05T08:23:28Z
dc.date.issued2014-06-05
dc.identifier.issn1573-2916
dc.identifier.urihttp://hdl.handle.net/11089/8662
dc.description.abstractIn the paper, we introduce the concepts of G-type I and generalized G-type I functions for a new class of nonconvex multiobjective variational control problems. For such nonconvex vector optimization problems, we prove sufficient optimality conditions for weakly efficiency, efficiency and properly efficiency under assumptions that the functions constituting them are G-type I and/or generalized G-type I objective and constraint functions. Further, for the considered multiobjective variational control problem, its dual multiobjective variational control problem is given and several duality results are established under (generalized) G-type I objective and constraint functions.pl_PL
dc.language.isoenpl_PL
dc.publisherSpringerpl_PL
dc.relation.ispartofseriesJournal of Global Optimization;April 2015, Volume 61, Issue 4
dc.rightsUznanie autorstwa 3.0 Polska*
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/pl/*
dc.subjectMultiobjective variational problemspl_PL
dc.subjectProperly efficient solutionpl_PL
dc.subjectG-type I objective and constraint functionspl_PL
dc.subjectOptimality conditionspl_PL
dc.subjectDualitypl_PL
dc.titleSufficient optimality criteria and duality for multiobjective variational control problems with G-type I objective and constraint functionspl_PL
dc.typeArticlepl_PL
dc.page.number695-720pl_PL
dc.contributor.authorAffiliationUniversity of Łódź, Faculty of Mathematicspl_PL
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dc.contributor.authorEmailantczak@math.uni.lodz.plpl_PL


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