On closedness conditions, strong separation, and convex duality
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-Rock...
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Dokumentumtípus: | Cikk |
Megjelent: |
2013
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Sorozat: | Acta cybernetica
21 No. 2 |
Kulcsszavak: | Számítástechnika, Kibernetika |
Tárgyszavak: | |
doi: | 10.14232/actacyb.21.2.2013.5 |
Online Access: | http://acta.bibl.u-szeged.hu/32899 |
Tartalmi kivonat: | 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. |
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Terjedelem/Fizikai jellemzők: | 273-285 |
ISSN: | 0324-721X |