TY - JOUR AU - Miklós Ujvári PY - 2013/01/01 Y2 - 2024/03/29 TI - On closedness conditions, strong separation, and convex duality JF - Acta Cybernetica JA - Acta Cybern VL - 21 IS - 2 SE - Regular articles DO - 10.14232/actacyb.21.2.2013.5 UR - https://cyber.bibl.u-szeged.hu/index.php/actcybern/article/view/3844 AB - 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. ER -