拓扑向量空间中锥拟凸多目标规划锥有效解集的连通性  

CONNECTEDNESS OF THE CONE EFFICIENT SOLUTION SET OF CONE QUASICONVEX MULTIOBJECTIVE PROGRAMMING IN TOPOLOGICAL VECTOR SPACE

作　　者：凌晨[1] 

机构地区：[1]浙江财经学院统计运筹系,杭州310012

出　　处：《应用数学学报》2001年第1期66-70,共5页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金资助项目.

摘　　要：本文研究局部凸的Ｈａｕｓｄｏｒｆｆ拓扑向量空间中锥拟凸多目标规划锥有效解集的连通性问题．利用广义鞍点定理，证明了目标映射为一对一的锥拟凸多目标规划的锥有效解集是连通的．This paper study the connectedness of the set of cone efficient solutions for cone quasiconvex multiobjective programming in locally convex Hausdorff topological vector space.By using the generalized saddle theorem, under the condition that the objective mapping is one-for-one and cone quasiconvex, we prove the connectedness results of the set of cone efficient solutions to multiobjective programming.

关 键 词：锥有效解 连通性 拓扑向量空间 锥拟凸多目标规划 

分 类 号：O221.6[理学—运筹学与控制论]