摘要
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.
出处
《系统科学与数学》
CSCD
北大核心
2000年第4期439-446,共8页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金!(No:79670056)
湖南省教委科研基金资助课题.
关键词
多目标规划
锥次微分
稳定性
锥有效性
锥有效解
序扰动
Multiobjective programming, cone subdifferential, stability, cone efficient point, cone efficient solution.
