赋范线性空间中锥拟凸向量优化问题超有效解集的连通性  

Connectedness of Super Efficient Solution Set of Cone Quasiconvex Vector Optimization in Normed Linear Space

作　　者：凌晨[1] 

机构地区：[1]浙江财经学院统计运筹系,浙江杭州310012

出　　处：《Journal of Mathematical Research and Exposition》2002年第1期103-106,共4页数学研究与评论（英文版）

摘　　要：本文研究赋范线性空间中集值映射向量优化问题超有效解集的连通性问题．证明了目标映射为锥拟凸的向量优化问题的超有效解集是连通的．In this paper, we study the connectedness of super efficient solution sets for set-valued mapping vector optimization in normed linear space. Under the condition that the objective mapping is cone quasiconvex, we prove the connectedness of the set of super efficient solutions to vector optimization.

关 键 词：向量优化 超有效解 锥拟凸 连通性 赋范线性空间 

分 类 号：O224[理学—运筹学与控制论]