Bot, Radu Joan ; Kassaj, Gabor ; Wanka, Gert : Strong duality for generalized convex optimization problems
- Author(s):
-
Bot, Radu Joan
Kassaj, Gabor
Wanka, Gert
- Title:
- Strong duality for generalized convex optimization problems
- Electronic source:
-
application/postscript
- Preprint series:
- Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 12, 2002
- Mathematics Subject Classification:
-
90C25 [ Convex programming ] 90C26 [ Nonconvex programming ] 90C46 [ Optimality conditions, duality ] - Abstract:
- In this paper strong duality for nearly convex optimization problems is established. Three kind of conjugate dual problems are attached to the primal optimization problem: the Lagrange dual, the Fenchel dual and the Fenchel-Lagrange dual problems. Our main results show that under suitable conditions, the optimal objective values of these four problems coincide.
- Keywords:
- realy convex set, realy convex function, strong duality
- Language:
-
English
- Publication time:
- 10 / 2002
