Please use this identifier to cite or link to this item:
http://hdl.handle.net/10071/9357
Author(s): | Ferreira, M. A. M. |
Date: | 2015 |
Title: | The vector space convex parts separation as a consequence of the Hahn-Banach theorem |
Volume: | 7 |
Number: | 3 |
Pages: | 10 p. |
ISSN: | 2075-4124 |
DOI (Digital Object Identifier): | 10.7813/2075-4124.2015/7-3/A.1 |
Keywords: | Hahn-Banach theorem Separation theorems Convex programming Minimax theorem |
Abstract: | The separation theorems are the key results for convex programming. They are important consequences of the Hahn-Theorem theorem. In this work begin to consider vector spaces, in general, then normed spaces and lastly Hilbert spaces. In the end, applications of these results in convex programming and in minimax theorem, two important tools in operations research, management and economics are presented. |
Peerreviewed: | yes |
Access type: | Open Access |
Appears in Collections: | BRU-RI - Artigos em revistas científicas internacionais com arbitragem científica DM-RI - Artigos em revistas científicas internacionais com arbitragem científica |
Files in This Item:
File | Description | Size | Format | |
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VECTORSPA_2.pdf | Pós-print | 271,49 kB | Adobe PDF | View/Open |
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