Sorin-Mihai Grad, Emilia-Loredana Pop: Vector duality for convex vector optimization problems with respect to quasi-minimality
- Author(s):
-
Sorin-Mihai Grad
Emilia-Loredana Pop
- Title:
-
Sorin-Mihai Grad, Emilia-Loredana Pop: Vector duality for convex vector optimization problems with respect to quasi-minimality
- Electronic source:
-
application/pdf
- Preprint series:
- Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 17, 2012
- Mathematics Subject Classification:
-
49N15 [] 90C25 [] 90C29 [] - Abstract:
- We define the quasi-minimal elements of a set with respect to a convex cone and characterize them via linear scalarization. Then we attach to a general vector optimization problem a dual vector optimization problem with respect to quasi-efficient solutions and establish new duality results. By considering particular cases of the primal vector optimization problem we derive vector dual problems with respect to quasi-efficient solutions for both constrained and unconstrained vector optimization problems and the corresponding weak, strong and converse duality statements.
- Keywords:
-
quasi-interior,
quasi-minimal element,
quasi-efficient solution,
vector duality
- Language:
- English
- Publication time:
- 12/2012
