集值优化问题全局极小解集的连通性  

The connectedness of the globally minimal solution set for set-valued optimization problems

作　　者：仇秋生[1] 

机构地区：[1]浙江师范大学数理与信息工程学院,浙江金华321004

出　　处：《浙江师范大学学报（自然科学版）》2009年第3期257-261,共5页Journal of Zhejiang Normal University:Natural Sciences

基　　金：国家自然科学基金资助项目(10771228)

摘　　要：在Hausdorff局部凸空间中,讨论了集值优化问题全局极小解的连通性问题.证明了当目标函数为锥类凸集值映射时,其目标空间里的全局有效点集是连通的;若目标函数为弧式锥凸集值映射,则其全局极小解集也是连通的.The eonnectedness of globally minimal solution set for set-valued optimization problems in Hausdorff locally convex space was discussed. The connectedness of the globally efficient point set was proved when objective functions were cone convexlike. When objective functions were arcwise cone convex set-valued mapping, then globally minimal solution set was also connected.

关 键 词：集值映射 连通性 全局有效点 集值优化 严格正泛函 

分 类 号：O221[理学—运筹学与控制论]