Convergence of the Relative Pareto Efficient Sets

被引：4

作者：

Nguyen Van Tuyen ^{[1
]}

机构：

[1] Hanoi Pedag Univ, Dept Math, 2,Xuan Hoa, Phuc Yen, Vinh Phuc, Vietnam

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2016年 / 20卷 / 05期

关键词：

Stability; Relative Pareto efficient; Kuratowski-Painleve convergence; Relative containment property; Lower semicontinuity; VECTOR OPTIMIZATION PROBLEMS; LOWER SEMICONTINUITY; MINIMAL POINTS; MULTIOBJECTIVE PROBLEMS; CONTINUITY; STABILITY; MULTIFUNCTIONS; OPTIMALITY;

D O I：

10.11650/tjm.20.2016.6229

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to present new results on the convergence of relative Pareto efficient sets and the lower semicontinuity of relative Pareto efficient point multifunctions under perturbations. Our results extend some results of Luc et al. [16, Theorem 2.1], Bednarczuk [4, Theorem 4] and [5, Proposition 3.1], Lucchetti and Miglierina [17, Proposition 3.1]. Some remarks and examples are provided for analysing the results obtained and for comparing them with the preceding results.

引用

页码：1149 / 1173

页数：25

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