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
vector optimization
super efficient solution
cone quasiconvex
connectedness.
