Sorin-Mihai Grad, Emilia-Loredana Pop: Alternative generalized Wolfe type and Mond-Weir type vector duality

Author(s):

Sorin-Mihai Grad
Emilia-Loredana Pop

Title:

Sorin-Mihai Grad, Emilia-Loredana Pop: Alternative generalized Wolfe type and Mond-Weir type vector duality

Electronic source:

application/pdf

Preprint series:

Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 16, 2012

Mathematics Subject Classification:

49N15	[]
90C25	[]
90C29	[]

Abstract:

Considering a general vector optimization problem, we attach to it two new vector duals by means of perturbation theory. These vector duals are constructed with the help of the recent Wolfe and Mond-Weir scalar duals for general optimization problems proposed by R.I. Bot and S.-M. Grad, by exploiting an idea due to W. Breckner and I. Kolumban. Constrained and unconstrained vector optimization problems are seen as special cases of the initial primal vector optimization problem and from the general case we obtain vector dual problems of Wolfe type and Mond-Weir type for them by using different vector perturbation functions.

Keywords:

Wolfe duality, Mond-Weir duality, conjugate functions, convex subdifferentials, vector duality

Language:

English

Publication time:

12/2012