SUFFICIENCY AND DUALITY IN VECTOR OPTIMIZATION INVOLVING ARCWISE CONNECTED TYPE-I FUNCTIONS

摘要

In this note, we deal with a vector optimization problem where all functions involved are defined on Hausdorff locally convex spaces. New classes of generalized type-I functions are introduced for directional differentiable arcwise connected functions between Hausdorff locally convex spaces. Based upon these generalized type-I functions, we obtain a few sufficient optimality conditions and prove some results on duality.