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扰动集值优化问题超有效点集的次微分稳定性
引用本文:侯震梅,周勇.扰动集值优化问题超有效点集的次微分稳定性[J].系统科学与数学,2006,26(6):744-751.
作者姓名:侯震梅  周勇
作者单位:新疆财经学院统计系,乌鲁木齐,830012
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.

关 键 词:集值优化  稳定性  次微分  超有效性  次梯度
收稿时间:2003-10-9
修稿时间:2003年10月9日

The stability of super efficient points of set-valued optimization problem with perturbation
Hou Zhenmei,Zhou Yong.The stability of super efficient points of set-valued optimization problem with perturbation[J].Journal of Systems Science and Mathematical Sciences,2006,26(6):744-751.
Authors:Hou Zhenmei  Zhou Yong
Institution:(1)Department of Statistics, Xinjiang Institute of Finance and Economics, Urumqi, 830012
Abstract: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.
Keywords:Set-valued optimization  stability  subdifferential  super efficiency  subgradient  
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