Please use this identifier to cite or link to this item: http://hdl.handle.net/10071/26452
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dc.contributor.authorFerreira, M. A. M.-
dc.contributor.editorLuigi Giacomo Rodino-
dc.date.accessioned2022-11-18T10:24:13Z-
dc.date.available2022-11-18T10:24:13Z-
dc.date.issued2020-
dc.identifier.citationFerreira, M. A. M. (2020). Convex programming based on Hahn Banach theorem. EM Luigi Giacomo Rodino (Ed.). Theory and applications of mathematical science (pp.60-72). Book Publisher International. 10.9734/bpi/tams/v1-
dc.identifier.isbn978-93-89562-13-2-
dc.identifier.urihttp://hdl.handle.net/10071/26452-
dc.description.abstractThe main objective of this chapter is to present the separation theorems, important consequences of Hahn-Theorem theorem. Therefore, we begin with an overview on convex sets and convex functionals. Then go on with the Hahn-Banach theorem and separation theorems. Follow these results specification: first for normed spaces and then for a subclass of these spaces, the Hilbert spaces. In this last case plays a key role the Riesz representation theorem. Separation theorems are key results in convex programming. Then the chapter ends with the outline of applications of these results in convex programming, Kuhn-Tucker theorem, and in minimax theorem, two important tools in operations research, management and economics,for instance.eng
dc.language.isoeng-
dc.publisherBook Publisher International-
dc.relationinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMulti%2F04466%2F2019/PT-
dc.relation.ispartofTheory and applications of mathematical science-
dc.rightsopenAccess-
dc.subjectHahn-Banach theoremeng
dc.subjectSeparation theoremseng
dc.subjectConvex programmingeng
dc.subjectKuhn-Tucker theoremeng
dc.subjectMinimax theoremeng
dc.titleConvex programming based on Hahn Banach theoremeng
dc.typebookPart-
dc.event.locationHooghlyeng
dc.pagination60 - 72-
dc.peerreviewedyes-
dc.volume1-
dc.date.updated2022-11-18T10:16:55Z-
dc.description.versioninfo:eu-repo/semantics/acceptedVersion-
dc.identifier.doi10.9734/bpi/tams/v1-
dc.subject.fosDomínio/Área Científica::Ciências Naturais::Matemáticaspor
dc.subject.fosDomínio/Área Científica::Ciências Naturais::Ciências da Computação e da Informaçãopor
iscte.subject.odsEducação de qualidadepor
iscte.subject.odsIndústria, inovação e infraestruturaspor
iscte.subject.odsProdução e consumo sustentáveispor
iscte.identifier.cienciahttps://ciencia.iscte-iul.pt/id/ci-pub-65503-
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