弧连通凸集值映射向量优化问题  

Vector Optimization Problems with Arcwise Connected Convex Set-valued Maps

作　　者：姚新颉[1] 王引观[2] 

机构地区：[1]浙江树人大学,浙江杭州310015 [2]嘉兴学院,浙江嘉兴314001

出　　处：《浙江树人大学学报》2003年第3期79-81,共3页Journal of Zhejiang Shuren University

摘　　要：在拓扑向量空间中引入弧连通凸集值映射的概念 ,建立了择一定理 ,证明了标量化定理和La grange乘子定理。In this paper, the concept of the arcwise connected convex set-valued maps is introduced in topological spaces and a theorem of alternative established. The theorems of scalarization and Lagrange's multipliers are proved.

关 键 词：弧连通凸 集值映射 标量化 拉格朗日乘子 

分 类 号：O224[理学—运筹学与控制论]