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http://hdl.handle.net/10071/9823
acessibilidade
Title: The Hahn-Banach theorem and the separation of a vector space convex parts
Authors: Ferreira, Manuel Alberto M.
Andrade, M.
Keywords: Hahn-Banach theorem
Separation theorems
Convex programming
Minimax theorem
Issue Date: 2013
Publisher: Progress IPS LLC
Abstract: The main objective of this article is to present the separation theorems, important consequences of the Hahn-Theorem theorem. These results are the fundamentals of the convex optimization mathematical approach. Along this work begin to consider vector spaces, in general, then normed spaces and posteriorly Hilbert spaces. It ends with the presentation of applications of these results in convex programming and in minimax theorem, two important tools in operations research, management and economics, for instance.
Peer reviewed: Sim
URI: https://ciencia.iscte-iul.pt/public/pub/id/8503
http://hdl.handle.net/10071/9823
ISSN: 2078-0257
Publisher version: http://dx.doi.org/10.7813/jmt.2013/4-1/1
Appears in Collections:DM-RI - Artigos em revistas científicas internacionais
BRU-RI - Artigo em revista científica internacional com arbitragem científica

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