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...

Teljes leírás

Elmentve itt :
Bibliográfiai részletek
Szerző: Ujvári Miklós
Dokumentumtípus: Cikk
Megjelent: 2013
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
Leíró adatok
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.
Terjedelem/Fizikai jellemzők:273-285
ISSN:0324-721X