%0 Journal Article
%T Optimality Conditions and Duality for Nonsmooth Multiobjective Optimization Problems with Cone Constraints<br>锥约束非光滑多目标优化问题的对偶及最优性条件
%A CHEN Jia-Wei
%A LI Jun
%A WANG Jing-Nan
%A <br>陈加伟
%A 李军
%A 王景南
%J 数学物理学报(A辑)
%D 2012
%I 
%X In this work, a nonsmooth multiobjective optimization problem involving gen-eralized invexity with cone constraints (for short, (MOP)) is considered. The Kuhn-Tucker necessary and su?cient conditions for (MOP) are established by using a generalized alterna-tive theorem of Craven and Yang. The relationship between saddle points and weakly effcient solutions of (MOP) is developed. Furthermore, the Wolfe type and Mond-Weir type weak, strong and converse duality results for (MOP) are presented. These results extend and improve corresponding results of others.
%K Nonsmooth multiobjective optimization problemzz
%K Saddle pointzz
%K Generalizedcone-invex functionzz
%K Weakly effcient solutionzz
%K Weak (strong
%K converse) dualityzz
%K Kuhn-Tucker condi-tionzz<br>非光滑多目标优化问题
%K 鞍点
%K 广义锥不变凸函数
%K 弱有效解
%K 弱(强、逆)对偶
%K Kuhn-Tucker型最优性条件
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=46DBF3E8FC2736F0C56275C52EDB5D80&yid=99E9153A83D4CB11&vid=9971A5E270697F23&iid=CA4FD0336C81A37A&sid=CA4FD0336C81A37A&eid=59906B3B2830C2C5&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=0&reference_num=0