集值优化问题严有效点集的次微分稳定性

The stability of strictly efficient points of set-valued optimization problem in the sense of subdifferential

在锥序Banach向量空间引入了集值映射次微分(次梯度),在一定的条件下,证明次微分(次梯度)的存在性及它的一些性质;得到了集值优化问题严有效点集在次微分意义下的稳定性．

A kind of subdifferential （subgradient） of set-valued mappings in ordered Banach vector spaces is introduced and its existence is proved by the separation theorem under certain conditions. The stability of strictly efficient points of set-valued optimization problem is obtained in the sense of subdifferential.