集值向量优化问题ε-超有效解集的连通性  

Connectedness of ε-super Efficient Solution Set of Vector Optimization of Set-valued Maps

作　　者：刘涛[1] 

机构地区：[1]四川攀枝花学院数理教学部,四川攀枝花617000

出　　处：《四川师范大学学报（自然科学版）》2006年第3期297-299,共3页Journal of Sichuan Normal University（Natural Science）

摘　　要：研究了赋范线性空间中集值向量优化问题ε-超有效解集的连通性,并证明了目标映射为锥拟凸的向量优化问题的ε-超有效解集是连通的.In this paper, we study the connectedness of ε-super efficient solution set of vector optimization set-value mapping in normed linear spaces. Under the condition that the objective mapping is cone quasiconvex, we obtain the connectedness of the set of ε- super efficient solution to vector optimization.

关 键 词：向量优化 Ε-超有效解 连通性 锥拟凸 

分 类 号：O224[理学—运筹学与控制论]