赋范线性空间集合的严有效点  

ON STRICTLY EFFICIENT POINTS OF A SET IN A NORMED LINEAR SPACE

作　　者：傅万涛[1] 

机构地区：[1]南昌大学数学系,南昌330047

出　　处：《系统科学与数学》1997年第4期324-329,共6页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金

摘　　要：本文引入一个新的有效点概念一严有效点,它是Borwein超有效点的推广.此外还讨论了严有效点的基本性质:存在性条件、纯量化特征、稠密性定理以及与Borwein超有效点的关系.in this paper, we introduce a new concept, the strictly efficient point, in vector optimization in Banach spaces. This concept is shown to have many desirable properties and to be an extension of the super efficient point in Borwein's sense. Particularly, we show that in reasonable settings the strictly efficient points of a set are dense in the efficient points.

关 键 词：赋范空间 有效点 严有效点 多目标规划 

分 类 号：O221[理学—运筹学与控制论]