Optimality Conditions for Strictly Efficient Solutions of Nondifferentiable Vector Optimization Problem
Taiyong Li, Yi-Hong Xu · 2008
Optimality conditions for vector optimization problem to attain strictly efficient solutions are considered in the paper. Under generalized cone-subconvexlikeness for vector valued mappings in locally-convex Hausdorff topological vector spaces, by using separation theorem for convex sets, optimality necessary conditions are derived. Several kinds of new convexity are introduced with Gateaux derivatives as an aid, under the assumption of which optimality sufficient conditions are obtained.