扰动集值优化问题超有效点集的次微分稳定性  

THE STABILITY OF SUPER EFFICIENT POINTS OF SET-VALUED OPTIMIZATION PROBLEM WITH PERTURBATION

作　　者：侯震梅[1] 周勇[1] 

机构地区：[1]新疆财经学院统计系,乌鲁木齐830012

出　　处：《系统科学与数学》2006年第6期744-751,共8页Journal of Systems Science and Mathematical Sciences

摘　　要：在锥序Banach向量空间引入了集值映射在超有效意下的次微分(次梯度);在一定的条件下,证明次微分(次梯度)的存在性;得到了序扰动、双扰动集值优化问题超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 in the sense of super efficiency. Under certain conditions, the existence of this subdifferential is proved and the stability of super efficient points of set-valued optimization problems with ordered perturbation and biperturbation is obtained in the sense of subdifferential.

关 键 词：集值优化 稳定性 次微分 超有效性 次梯度 

分 类 号：O177[理学—数学]