摘要
通过建立稳定的Farkas型引理的等价刻画,给出锥凸优化问题有关稳定的Lagrangian对偶性的充分必要条件,得到共轭函数的上图,函数的次微分和对偶锥及其集为弱*-闭等之间的相互关系.
It presents the necessary and sufficient condition of stable lagrangian duality in cone-convex optimization problems by establishing equivalent characterization for stable Farkas＇ lemma. The interrelationships among the epigraph of conjugate function, subdifferential of function, dual cone and w＊ - closed of set are shown.
出处
《河南师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2009年第4期25-27,共3页
Journal of Henan Normal University(Natural Science Edition)
基金
福建省自然科学基金(S0650021)
关键词
C-凸映射
＊-闭
对偶锥
Cone-convex mapping
w＊-closed
dual cone
