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 |
|---|---|
| Journal or Publication Title: | Acta cybernetica |
| Date: | 2013 |
| Volume: | 21 |
| Number: | 2 |
| ISSN: | 0324-721X |
| Page Range: | pp. 273-285 |
| Language: | angol |
| DOI: | https://doi.org/10.14232/actacyb.21.2.2013.5 |
| Uncontrolled Keywords: | Informatika, Informatika |
| Additional Information: | Bibliogr.: 285. p. |
| Date Deposited: | 2016. Oct. 17. 10:38 |
| Last Modified: | 2018. Jun. 05. 15:19 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/32899 |
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