Bot, Radu Ioan ; Hodrea, Ioan Bogdan ; Wanka, Gert : Optimality conditions for weak efficiency to vector optimization problems with composed convex functions

Author(s):

Bot, Radu Ioan
Hodrea, Ioan Bogdan
Wanka, Gert

Title:

Optimality conditions for weak efficiency to vector optimization problems with composed convex functions

Electronic source:

application/pdf

Preprint series:

Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 21, 2006

Mathematics Subject Classification:

90C29			[ Multi-objective and goal programming ]
49N15			[ Duality theory ]
90C46			[ Optimality conditions, duality ]

Abstract:

We consider a convex optimization problem with a vector valued function as objective function and convex cone inequality constraints. We suppose that each entry of the objective function is the composition of some convex functions. Our aim is to provide necessary and sufficient conditions for the weakly efficient solutions of this vector problem. Moreover, a multiobjective dual treatment is given and weak and strong duality assertions are proved.

Keywords:

multiobjective optimization, composed convex functions, conjugate duality, weak efficiency

Language:

English

Publication time:

11 / 2006