集值映射向量优化问题的ε-共轭对偶  

ε-Conjugate Duality in the Vector Optimization Problems of Set-Valued Maps

作　　者：贾继红[1] 罗学波[2] 

机构地区：[1]长安大学基础课部,西安710064 [2]西北工业大学数学与信息科学系,西安710072

出　　处：《系统工程理论方法应用》2003年第1期20-23,共4页Systems Engineering Theory·Methodology·Applications

摘　　要：研究了集值优化问题的ε-共轭对偶。首先 ,给出了集值映射的共轭映射的概念 ;其次 ,给出了共轭映射的 5个性质 ;最后 。This paper studies ε conjugate duality problem of set valued optimization problems. Firsty, conjugate map for set valued maps is presented; Secondly, five properties of conjugate map are obtained; Finally, the weak duality theorem and the strong duality theorem are obtained.

关 键 词：ε-共轭对偶 集值映射 向量优化 共轭映射 强对偶定理 

分 类 号：O224[理学—运筹学与控制论]