The Weak Efficient Generalized Gradient of Set-Valued Maps
Xiang Shu-wen · Journal of Jiangxi Normal University · 2010
For the set-valued vector optimization problem(SOP),the concept of the generalized gradient in sense of set-valued map weak efficiency is introduced by means of contingent epiderivative in order Banach space.Under the condition of connectedness,its existence is proved by the separation theorem of convex sets.Thus the optimality condition of weak efficient solution of set-valued optimization problems is established in the sense of generalized gradient.