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(英文)  

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

作　　者：凌晨[1] 

机构地区：[1]浙江财经学院信息学院,杭州310012

出　　处：《运筹学学报》2004年第3期19-28,共10页Operations Research Transactions

摘　　要：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.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.

关 键 词：拓扑空间 锥拟凸 连通性 有效解集 路连通性 锥次严格拟凸 

分 类 号：O177.91[理学—数学]