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

Radu Ioan Boţ, Sorin‐Mihai Grad · 2011

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 dierent 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 ob- tained from the general ones by using the Lagrange perturbation.

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