On closedness conditions, strong separation, and convex duality

Ujvári, Miklós: On closedness conditions, strong separation, and convex duality. In: Acta cybernetica, (21) 2. pp. 273-285. (2013)

[img]
Preview
Cikk, tanulmány, mű
actacyb_21_2_2013_5.pdf

Download (291kB) | Preview

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

Actions (login required)

View Item View Item