Extending the classical vector Wolfe and Mond-Weir duality concepts via perturbations

Considering a general vector optimization problem, we attach to it by means of perturbation theory new vector duals. When the primal problem and the perturbation function are particularized different vector dual problems are obtained. In the special case of a constrained vector optimization problem the classical Wolfe and Mond-Weir duals to the latter, respectively, can be obtained from the general ones by using the Lagrange perturbation.