Contingent Epiderivative of the Value Map in Vector Optimization of Inequality Constraint
Wan Li-juan · College Mathematics · 2007
Consider the parametrized minimization problem minK{f(w,x)|x∈X,g(w,x)∈C},where f: W×X→Y is a Hadamard-differentiable single-Valued map from the product of two normed spaces W and X to another normed space Y,KY is a convex closed pointed cone.C is a closed convex pointed cone of a Banach space Z,g:W×X→Z is a Frechet differentiable mapping.Two representations of contingent epiderivative of the value map is given in terms of the derivative of the objective function,the contingent derivative of the constraint map and the Lagrangian mapping.