Lower-semicontinuity and optimization of convex functionals

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dc.contributor.authorFernandes, L. A O [UNESP]
dc.contributor.authorArbach, R. [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-27T11:24:33Z
dc.date.available2014-05-27T11:24:33Z
dc.date.issued2009-12-01
dc.description.abstractThe result that we treat in this article allows to the utilization of classic tools of convex analysis in the study of optimality conditions in the optimal control convex process for a Volterra-Stietjes linear integral equation in the Banach space G([a, b],X) of the regulated functions in [a, b], that is, the functions f : [a, 6] → X that have only descontinuity of first kind, in Dushnik (or interior) sense, and with an equality linear restriction. In this work we introduce a convex functional Lβf(x) of Nemytskii type, and we present conditions for its lower-semicontinuity. As consequence, Weierstrass Theorem garantees (under compacity conditions) the existence of solution to the problem min{Lβf(x)}. © 2009 Academic Publications.en
dc.description.affiliationDepartment of Mathematics UNESP-Ilha Solteira, Alameda Rio de Janeiro 266, 15385-000, Ilha Solteira, SP
dc.description.affiliationUnespDepartment of Mathematics UNESP-Ilha Solteira, Alameda Rio de Janeiro 266, 15385-000, Ilha Solteira, SP
dc.format.extent189-194
dc.identifierhttp://www.ijpam.eu/contents/2009-51-2/5/5.pdf
dc.identifier.citationInternational Journal of Pure and Applied Mathematics, v. 51, n. 2, p. 189-194, 2009.
dc.identifier.file2-s2.0-78649773348.pdf
dc.identifier.issn1311-8080
dc.identifier.scopus2-s2.0-78649773348
dc.identifier.urihttp://hdl.handle.net/11449/71430
dc.language.isoeng
dc.relation.ispartofInternational Journal of Pure and Applied Mathematics
dc.relation.ispartofsjr0,139
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectConvex optimization
dc.subjectRegulated functions
dc.subjectVolterra-Stietjes linear integral equations
dc.titleLower-semicontinuity and optimization of convex functionalsen
dc.typeTrabalho apresentado em evento
dcterms.licensehttp://www.ijpam.eu/instr.html#23
unesp.campusUniversidade Estadual Paulista (Unesp), Faculdade de Engenharia, Ilha Solteirapt

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