Ujvári Miklós: On closedness conditions, strong separation, and convex duality. In: Acta cybernetica, (21) 2. pp. 273-285. (2013)
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Abstract
In the paper, we describe various applications of closedness and duality theorems from previous works of the author. First, the strong separability of a polyhedron and a linear image of a convex set is characterized. Then, it is shown how stability conditions (known from the generalized Fenchel-Rockafellar duality theory) can be reformulated as closedness conditions. Finally, we present a generalized Lagrangian duality theorem for Lagrangian programs described with cone-convex/cone-polyhedral mappings.
Item Type: | Article |
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Journal or Publication Title: | Acta cybernetica |
Date: | 2013 |
Volume: | 21 |
Number: | 2 |
ISSN: | 0324-721X |
Page Range: | pp. 273-285 |
Language: | English |
Place of Publication: | Szeged |
Related URLs: | http://acta.bibl.u-szeged.hu/38536/ |
DOI: | 10.14232/actacyb.21.2.2013.5 |
Uncontrolled Keywords: | Számítástechnika, Kibernetika |
Additional Information: | Bibliogr.: 285. p. ; összefoglalás angol nyelven |
Subjects: | 01. Natural sciences 01. Natural sciences > 01.02. Computer and information sciences |
Date Deposited: | 2016. Oct. 17. 10:38 |
Last Modified: | 2022. Jun. 17. 15:51 |
URI: | http://acta.bibl.u-szeged.hu/id/eprint/32899 |
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