Contingent epiderivative of the value map in parametric vector optimization problem of abstract constraint
Wan Li-juan · Journal of Science of Teachers' College and University · 2006
Consider the parametrized minimization problem mink{f(w,x)|x∈G(w)}.Wheref:W×X→Yisa Hadamard-differentiable single-valued map from the product of two normed spacesWandXto anothernormed spaceY,G:W→Xis a feasible set-valued map,andK Yis a convex closed pointed cone.A repre-sentation of contingent epiderivative of the value map is given in terms of the derivative of the objective func-tion and the contingent derivative of the constraint map.