集值映射向量优化问题的ε-超鞍点和ε-对偶定理(英文)  

ε-Super Saddle Points and ε-Duality Theorems of Vector Optimization Problems with Set-Valued Maps

作　　者：凌晨[1] 

机构地区：[1]浙江财经学院信息学院,杭州310012

出　　处：《运筹学学报》2002年第1期53-60,共8页Operations Research Transactions

摘　　要：本文研究集值映射向量优化问题的ε-超鞍点和ε-对偶定理.在集值映射是近似广义锥次似凸的假设下,利用ε-超有效解的标量化和Lagrange乘子定理,建立和证明了关于ε-超有效解的鞍点和对偶定理.This paper establishes and proves the saddle points and duality theorems for ε-super efficient solution of vector optimization with set-valued maps, under the assumption that the set-valued maps is nearly generalized cone-subconvexlike, by utilizing the scalarization and Lagrange multiplier theorem for ε-super efficient solution.

关 键 词：向量优化问题 Ε-超有效解 ε-对偶定理 集值映射 近似广义锥似凸 ε-超鞍点 

分 类 号：O224[理学—运筹学与控制论]