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Nemitsky's operators and lower closure theorems

dc.contributor.authorSuryanarayana, Manda Butchien_US
dc.contributor.authorCesari, Lambertoen_US
dc.date.accessioned2006-09-11T15:47:52Z
dc.date.available2006-09-11T15:47:52Z
dc.date.issued1976-05en_US
dc.identifier.citationCesari, L.; Suryanarayana, M. B.; (1976). "Nemitsky's operators and lower closure theorems." Journal of Optimization Theory and Applications 19(1): 165-183. <http://hdl.handle.net/2027.42/45208>en_US
dc.identifier.issn0022-3239en_US
dc.identifier.issn1573-2878en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/45208
dc.description.abstractThis paper focuses on certain analytic criteria given by the authors in earlier works, for the geometric property of upper semicontinuity of set-valued functions, used in the proofs of lower closure theorems, and hence in existence theory. In particular, it is observed that, under Filippov-type condition (namely, when the set of controls is bounded in measure or in norm), mere Carathéodory-type continuity of the relevant functions f is sufficient to guarantee a weak form of property (Q), and in turn the lower closure theorems.en_US
dc.format.extent808533 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherKluwer Academic Publishers-Plenum Publishers; Plenum Publishing Corporation ; Springer Science+Business Mediaen_US
dc.subject.otherLower Closure Theoremsen_US
dc.subject.otherUpper Semicontinuityen_US
dc.subject.otherExistence Theoremsen_US
dc.subject.otherTheory of Computationen_US
dc.subject.otherOptimizationen_US
dc.subject.otherOptimizationen_US
dc.subject.otherEngineering, Generalen_US
dc.subject.otherOperation Research/Decision Theoryen_US
dc.subject.otherNemitsky Operatorsen_US
dc.subject.otherControl Theoryen_US
dc.subject.otherOrientor Fieldsen_US
dc.subject.otherFunctional Analysisen_US
dc.subject.otherMathematicsen_US
dc.subject.otherApplications of Mathematicsen_US
dc.subject.otherCalculus of Variations and Optimal Controlen_US
dc.titleNemitsky's operators and lower closure theoremsen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mathematics, University of Michigan, Ann Arbor, Michiganen_US
dc.contributor.affiliationotherDepartment of Mathematics, Eastern Michigan University, Ypsilanti, Michiganen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/45208/1/10957_2004_Article_BF00934059.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/BF00934059en_US
dc.identifier.sourceJournal of Optimization Theory and Applicationsen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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