集值向量优化问题ε-真有效解集的拓扑性质  

The Topological Properties of ε-efficient Set in Vector Optimization of Set-valued Maps

作　　者：姚永芳[1] 王引观[1] 

机构地区：[1]嘉兴学院信息工程学院,浙江嘉兴314001

出　　处：《嘉兴学院学报》2004年第3期5-8,共4页Journal of Jiaxing University

基　　金：浙江省教育厅基金资助项目 ( No. 2 0 0 2 0 5 0 2 )

摘　　要：该文研究集值向量优化问题ε-真有效解集的拓扑性质 ,证明了ε-真有效解集的闭性、紧性和连通性。In this paper, we study the topological properties of ε-efficient set in vector optimization of set-valued maps. The connectedness and topological properties of efficient set, such as closeness, compactness, have been obtained.

关 键 词：集值映射 向量优化 ε-真有效解集 连通性 

分 类 号：O151.24[理学—数学]