Henig Proper Efficient Points and Generalized Henig Proper Efficient Points  

作　　者：Jing Hui QIU 

机构地区：[1]Department of Mathematics, Suzhou University, Suzhou 215006, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2009年第3期445-454,共10页数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China (10571035, 10871141)

摘　　要：Applying the theory of locally convex spaces to vector optimization, we investigate the relationship between Henig proper efficient points and generalized Henig proper efficient points. In particular, we obtain a sufficient and necessary condition for generalized Henig proper efficient points to be Henig proper efficient points. From this, we derive several convenient criteria for judging Henig proper efficient points.Applying the theory of locally convex spaces to vector optimization, we investigate the relationship between Henig proper efficient points and generalized Henig proper efficient points. In particular, we obtain a sufficient and necessary condition for generalized Henig proper efficient points to be Henig proper efficient points. From this, we derive several convenient criteria for judging Henig proper efficient points.

关 键 词：locally convex space base of a cone Henig proper efficient point generalized Henig properefficient point 

分 类 号：O177.3[理学—数学]