关于严有效点的几个性质  

Some Properties on Strictly Efficient Point

作　　者：郑志荣[1] 

机构地区：[1]江西教育学院数学与计算机科学系,江西南昌330029

出　　处：《江西教育学院学报》2003年第6期1-2,共2页Journal of Jiangxi Institute of Education

摘　　要：　证明了严有效点的两个性质:(1)严有效点的定义与有界基的选择无关;(2)在一定条件下,凸集A的元素x是A的严有效点的充分必要条件是有正线性泛函f(x)在A上取得最小值。The article testifies two properties of strictly efficient point: The definition of the strictly efficient point is far away from the choose of bounded basis; on the certain condition,the element x of the convex set A is the strictly efficient point if and only if a positive linear functional which can obtain a minimal value on A exists.

关 键 词：严有效点 有界基 凸集 正线性泛函 线性拓朴空间 

分 类 号：O189.11[理学—数学]