Painlevé-Kuratowski convergences of the solution sets for perturbed vector equilibrium problems without monotonicity

被引：0
|
作者：
Zai-yun Peng
Xin-min Yang
机构：
[1] Chongqing JiaoTong University,College of Science
[2] Chongqing Normal University,Department of Mathematics
来源：
Acta Mathematicae Applicatae Sinica, English Series | 2014年 / 30卷
关键词：
stability; Painlevé-Kuratowski convergence; efficient solution; perturbed vector equilibrium problem; scalarization; 90C33; 49K40; 34D10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we obtain some stability results for perturbed vector equilibrium problems. Under new assumptions, which are weaker than the assumption of C-strict monotonicity, we provide sufficient conditions for the Painlevé-Kuratowski Convergence of the weak efficient solution sets and efficient solution sets for the perturbed vector equilibrium problems with a sequence of mappings converging in real linear metric spaces. These results extend and improve some known results in the literature.
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页码：845 / 858
页数：13
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