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http://hdl.handle.net/10071/26452
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DC Field | Value | Language |
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dc.contributor.author | Ferreira, M. A. M. | - |
dc.contributor.editor | Luigi Giacomo Rodino | - |
dc.date.accessioned | 2022-11-18T10:24:13Z | - |
dc.date.available | 2022-11-18T10:24:13Z | - |
dc.date.issued | 2020 | - |
dc.identifier.citation | Ferreira, 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.isbn | 978-93-89562-13-2 | - |
dc.identifier.uri | http://hdl.handle.net/10071/26452 | - |
dc.description.abstract | The 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.iso | eng | - |
dc.publisher | Book Publisher International | - |
dc.relation | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMulti%2F04466%2F2019/PT | - |
dc.relation.ispartof | Theory and applications of mathematical science | - |
dc.rights | openAccess | - |
dc.subject | Hahn-Banach theorem | eng |
dc.subject | Separation theorems | eng |
dc.subject | Convex programming | eng |
dc.subject | Kuhn-Tucker theorem | eng |
dc.subject | Minimax theorem | eng |
dc.title | Convex programming based on Hahn Banach theorem | eng |
dc.type | bookPart | - |
dc.event.location | Hooghly | eng |
dc.pagination | 60 - 72 | - |
dc.peerreviewed | yes | - |
dc.volume | 1 | - |
dc.date.updated | 2022-11-18T10:16:55Z | - |
dc.description.version | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.doi | 10.9734/bpi/tams/v1 | - |
dc.subject.fos | Domínio/Área Científica::Ciências Naturais::Matemáticas | por |
dc.subject.fos | Domínio/Área Científica::Ciências Naturais::Ciências da Computação e da Informação | por |
iscte.subject.ods | Educação de qualidade | por |
iscte.subject.ods | Indústria, inovação e infraestruturas | por |
iscte.subject.ods | Produção e consumo sustentáveis | por |
iscte.identifier.ciencia | https://ciencia.iscte-iul.pt/id/ci-pub-65503 | - |
Appears in Collections: | ISTAR-CLI - Capítulos de livros internacionais |
Files in This Item:
File | Size | Format | |
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bookPart_65503.pdf | 433,57 kB | Adobe PDF | View/Open |
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