%0 Journal Article
%T CONJUGATE DUALITY THEORY IN MULTIOBJECTIVE OPTIMIZATION<br>多目标最优化中的共轭对偶理论
%A WANG SHOUYANG
%A <br>汪寿阳
%J 系统科学与数学
%D 1984
%I 
%X This paper presents some new concepts about the conjugate map,the cone-conve-xity and the sub-differential of a vector-valued function or a general set-valued map,ect.,and discusses their relationships.The conjugate dual problem is defined in termsof the conjugate map of the perturbed objective function and a theoretical frame onconjugate duality in multiobjective optimiztion is established.The main results in thispaper are as follows:Every solution of the stable primal problem is associated with acertain solution of the dual problem,which is characterized as a subgradient of the pe-rturbed efficient vector-valued map;this pair of solutions also provides a saddle pointof the Lagrangian map.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=8752267CCD2E3A8CD1CAC3F2CCAEEF9A&yid=36250D1D6BDC99BD&vid=E158A972A605785F&iid=E158A972A605785F&sid=358F98408588E522&eid=C2F76551C0111538&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=3&reference_num=0