DENSITY OF THE SET OF POSITIVE PROPER MINIMAL POINTS IN THE SET OF MINIMAL POINTS

被引：19

作者：

GONG, XH

机构：

[1] Department of Mathematics, Nanchang University, Nanchang

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1995年 / 86卷 / 03期

关键词：

VECTOR OPTIMIZATION; POSITIVE PROPER MINIMAL POINTS; MINIMAL POINTS; DENTABLE POINTS; APPROXIMATING CONES;

D O I：

10.1007/BF02192161

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

One of the important problems of vector optimization concerns the density of the set of positive proper minimal points in the set of minimal points. We use the concepts of dentable point and approximating cones to derive sufficient conditions guaranteeing that the set of minimal points is contained in the closure of the set of positive proper minimal points. The result can be applied to obtain a density result for the unit ball in 1(p), 1 < p < + infinity, which does not follow from any other well-known density theorem.

引用

页码：609 / 630

页数：22

共 16 条

[1]

[Anonymous], 1986, MATH VECTOR OPTIMIZA

[2]

ARROW KJ, 1953, CONTRIBUTIONS THEORY, P87

[3] STRUCTURE OF ADMISSIBLE POINTS WITH RESPECT TO CONE DOMINANCE [J].