Henig Proper Efficient Points and Generalized Henig Proper Efficient Points

Henig Proper Efficient Points and Generalized Henig Proper Efficient Points

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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.

作者 Jing Hui QIU

机构地区 Department of Mathematics

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 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)

关键词 locally convex space base of a cone Henig proper efficient point generalized Henig properefficient point locally convex space, base of a cone, Henig proper efficient point, generalized Henig properefficient point

分类号 O177.3 [理学—基础数学]

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Acta Mathematica Sinica,English Series

2009年第3期

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Henig Proper Efficient Points and Generalized Henig Proper Efficient Points

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