集—集映射的最优化问题的Lagrange对偶关系  

LAGRANGE DUALITY RELATION OF OPTIMIZATION PROBLEMS WITH SET SET MAPS

作　　者：凌晨[1] 

机构地区：[1]浙江财经学院基础部

出　　处：《高校应用数学学报（A辑）》1998年第2期209-216,共8页Applied Mathematics A Journal of Chinese Universities(Ser.A)

摘　　要：本文讨论集—集映射的多目标最优化问题．首先给出了Ｌａｇｒａｎｇｅ乘子定理，其结果可视作卢占禹（１９９５）的一个定理在有限维情形时的改进；其次研究了对应的对偶关系，推广了Ｈｓｉａ，Ｗ．Ｓ．和Ｌｅｅ，Ｔ．Ｙ．（１９８８）文中集—点映射情形时的相应结论．This paper discusses multiobjective optimization problems with set set maps. The author gives the Lagrange multiplier theorem, and improves the theorems in the paper of Lu Zhanyu (1995) on finite dimensional case. He also investigate the relation of Lagrange duality, and generalizes the results in the paper of Hsia, W.S. and Lee, T.Y.(1988) on set point maps case.

关 键 词：多目标最优化 集-集映射 LAGRANGE乘子定理 对偶映射 

分 类 号：O221[理学—运筹学与控制论]