%0 Journal Article
%T The Generalized Vector Variational Inequalities and the Generalized Dual Models<br>广义向量变分不等式和广义对偶模型
%A LI Yuexian
%A RONG Weidong
%A LIU Haijun
%A <br>李月鲜
%J 系统科学与数学
%D 2009
%I 
%X In this paper, the nonsmooth vector optimization problem with inequality constraints in real Banach space is studied. First, in terms of the lower directional derivatives, the generalized Minty type vector variational inequalities are introduced. Then, the optimality condition of the problem (VP) is obtained.Finally, the generalized dual model of the problem (VP) is presented with the help of upper subdifferential of function, and a weak duality theorem is given.
%K Lower directional derivative
%K generalized Minty type vector variational inequality
%K generalized dual model<br>下方向导数
%K 广义Minty型向量变分不等式
%K 广义对偶模型
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=ECD23C7F2AED2F94A307B5ABA862490D&yid=DE12191FBD62783C&vid=771469D9D58C34FF&iid=B31275AF3241DB2D&sid=CFBDB06850C21CC6&eid=5EEA08EFB4616D1C&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=8