应用数学
應用數學
응용수학
MATHEMATICA APPLICATA
2010年
2期
325-330
,共6页
多目标规划%锥有效解%锥拟凸映射%广义鞍点定理%连通性
多目標規劃%錐有效解%錐擬凸映射%廣義鞍點定理%連通性
다목표규화%추유효해%추의철영사%엄의안점정리%련통성
Multiobjective programming%Cone-efficient solution%Cone-quasiconvex mapping%Generalized saddle theorem%Connectedness
本文研究局部凸的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,证明了定义在紧凸集上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.在证明中,广义鞍点定理起着关键的作用.
本文研究跼部凸的拓撲嚮量空間中錐擬凸多目標規劃錐有效解集的連通性問題,證明瞭定義在緊凸集上目標映射為一對一的錐擬凸多目標規劃的錐有效解集是連通的.在證明中,廣義鞍點定理起著關鍵的作用.
본문연구국부철적탁복향량공간중추의철다목표규화추유효해집적련통성문제,증명료정의재긴철집상목표영사위일대일적추의철다목표규화적추유효해집시련통적.재증명중,엄의안점정리기착관건적작용.
This paper deals with the connectedness of the cone-efficient solution set for vector optimization in locally convex topological vector spaces. The connectedness of the cone-efficient solution set is proved for multiobjective programming defined by a continuous one-to-one cone-quasiconvex mapping on a compact convex set of alternatives. During the proof,the generalized saddle theorem plays a key role.
