Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10071/26452
Autoria: | Ferreira, M. A. M. |
Editor: | Luigi Giacomo Rodino |
Data: | 2020 |
Título próprio: | Convex programming based on Hahn Banach theorem |
Volume: | 1 |
Título e volume do livro: | Theory and applications of mathematical science |
Paginação: | 60 - 72 |
Referência bibliográfica: | 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 |
ISBN: | 978-93-89562-13-2 |
DOI (Digital Object Identifier): | 10.9734/bpi/tams/v1 |
Palavras-chave: | Hahn-Banach theorem Separation theorems Convex programming Kuhn-Tucker theorem Minimax theorem |
Resumo: | 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. |
Arbitragem científica: | yes |
Acesso: | Acesso Aberto |
Aparece nas coleções: | ISTAR-CLI - Capítulos de livros internacionais |
Ficheiros deste registo:
Ficheiro | Tamanho | Formato | |
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bookPart_65503.pdf | 433,57 kB | Adobe PDF | Ver/Abrir |
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