锥连续锥拟凹向量函数最大化问题有效解集的连通性(英文)

Connectedness of the Efficient Set in Cone-continuous and Cone-quasiconcave Vector Maximization

本文讨论了锥连续函数及锥最大下界的性质,在此基础上讨论了锥连续锥拟凹向量函数最大化问题有效解集的连通性,证明了当象集为锥凸集时锥有效解集是连通的.

In this paper, we investigate some properties of cone-continuous vector-valued functions and the greatest cone lower bound, and prove the connectedness of the cone, efficient solution set for a cone-continuous vector-valued cone-quasiconcave function under the condition that the image set is cone-convex.