在锥序Banach空间中引入了一类集值映射的广义梯度,在一定条件下通过凸集分离定理证明了此广义梯度的存在性;并给出集值优化问题的超有效解在广义梯度下的最优条件.
The generalized gradient of a kind of set-valued mappings is introduced into ordered Banach spaces and under certain conditions its existence is proved via the separation theorem. The optimality conditions of super-efficient solution of set-valued optimization problems are presented in the sense of generalized gradient.