拓扑空间中锥拟凸映射多目标优化问题有效解集的连通性

本文研究拓扑空间中锥拟凸多目标优化问题的有效解集的连通性．在目标映射是上连续和拟凸(次严格拟凸)的条件下，证明了锥弱有效(有效)解集是连通的.进一步，在是连续和强拟凸的条件下，证明了锥有效解集是路连通的.

Connectedness of Efficient Solution Set of Multiobjective Optimization with Cone Quasiconvex Mapping in Topological Spaces

In this paper, we prove that the cone weak efficient (cone efficient) solution set is connected under the condition that the objective mapping / is continuous and K-quasiconvex ( K-secondary strictly quasiconvex ) on A, in general topological vector spaces. Further, we also prove that cone efficient solution set is path connected under the condition that the objective mapping f is continuous and K-strong quasiconvex on A.