%0 Journal Article
%T The Henig Efficient Subdifferential of Set-valued Mapping and Stability<br>集值映射的Henig有效次微分及其稳定性
%A Yu Guolin
%A Liu Sanyang
%A <br>余国林
%A 刘三阳
%J 数学物理学报(A辑)
%D 2008
%I 
%X In normed linear spaces, the concepts of cone-Henig efficient subgradient and cone-Henig efficient subdifferential for a set-valued mapping are introduced. By using the convex set separation theorem, the existence theorem for cone-Henig efficient subdifferential is proposed, and the sufficient and necessary condition for a linear functional being a cone-Henig efficient subgradient is established. Finally, the stability problem for a kind of perturbed set-valued opimization problem is considered in sense of Henig efficiency.
%K Set-valued mappingzz
%K Henig efficiencyzz
%K Subdifferentialzz
%K stabilityzz<br>集值映射
%K Henig有效性
%K 次微分
%K 稳定性
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=AEE2B74BDDA3E0BC6C82F7AF3B0A9E2D&yid=67289AFF6305E306&vid=D3E34374A0D77D7F&iid=38B194292C032A66&sid=BEE722AB5028E81F&eid=BD7D27247C63490C&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=1&reference_num=18