序线性空间中向量极值的标量化定理  

THE SCALARIZATION THEOREM FOR VECTOR EXTREMUM PROBLEMS IN ORDERED LINEAR SPACES

作　　者：詹毅[1] 李泽民[1] 

机构地区：[1]重庆大学数理学院,重庆400044

出　　处：《经济数学》2005年第4期424-427,共4页Journal of Quantitative Economics

摘　　要：文[1]在B anach空间中讨论了向量优化问题的标量化问题。本文在序线性空间由凸集分离定理得到了序线性空间中向量极值的标量化定理。In paper[1] the author discussed the scalarization theorem for vector optimilization problems in Banach spaces. In this paper,by applying separation theorem we obtain the scalarization throrem for vector extremum problems in ordered linear spaces.

关 键 词：序线性空间 Y+ 严格凸函数 标量化定量 

分 类 号：O224[理学—运筹学与控制论] O177.3[理学—数学]