对于局部凸拓扑向量空间的多目标规划问题，本文研究并得到当确定空间序的控制锥受扰动，它们的锥有效点（解）集和锥弱有效点（解）集分别在锥次微分和锥弱次微分意义下的稳定性结果．

In this paper,under given some condition we have proved existence of the subdifferential of the point sets mapping in local convex topological vector spaces.Meanwhile,we have gotten stability for the subdifferential of cone efficient point (solution) sets and cone weakly efficient point(solution) sets of multiobjective programming with respect to perturbation of cone respectively.