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

中文关键词:  量优化  超有效解  锥拟凸  连通性

英文关键词:vector optimization  super efficient solution  cone quasiconvex  connectedness.

中文摘要:

      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．

英文摘要:

      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.