Alternative generalized wolfe type and mond-weir type vector duality

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. Boi; 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.