Painlevé-Kuratowski Stability of the Solution Sets to Perturbed Vector Generalized Systems

被引：0
|
作者：
Zai-yun PENG [1 ]
Yong ZHAO [1 ,2 ]
Xin-min YANG [3 ]
机构：
[1] College of Mathematics and Statistics,Chongqing JiaoTong University
[2] Department of Mathematics,Sichuan University
[3] Department of Mathematics,Chongqing Normal University
来源：
Acta Mathematicae Applicatae Sinica | 2018年 / 34卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Painlevé-Kuratowski convergence; global efficient solution sets; efficient solution sets; perturbed generalized systems;
D O I：
暂无
中图分类号：
O183.1 [向量分析];
学科分类号：
070104 ;
摘要：
In this paper, stability results of solution mappings to perturbed vector generalized system are studied. Firstly, without the assumption of monotonicity, the Painlev′e-Kuratowski convergence of global efficient solution sets of a family of perturbed problems to the corresponding global efficient solution set of the generalized system is obtained, where the perturbations are performed on both the objective function and the feasible set.Then, the density and Painlev′e-Kuratowski convergence results of efficient solution sets are established by using gamma convergence, which is weaker than the assumption of continuous convergence. These results extend and improve the recent ones in the literature.
引用
收藏
页码：304 / 317
页数：14
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