拓扑向量空间中锥拟凸多目标规划锥有效解集的连通性(英文)  

Connectedness of Cone-Efficient Solution Set for Cone-Quasiconvex Multiobjective Programming in Topological Vector Spaces

作　　者：周轩伟[1] 

机构地区：[1]浙江树人大学基础部,浙江杭州310015

出　　处：《应用数学》2010年第2期325-330,共6页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China (70071026)

摘　　要：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.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.

关 键 词：多目标规划 锥有效解 锥拟凸映射 广义鞍点定理 连通性 

分 类 号：O221.2[理学—运筹学与控制论]