Metric Subregularity in Generalized Equations

被引：6
|
作者：
Marechal, Matthieu [1 ]
机构：
[1] Univ Diego Portales, Fac Ingn & Ciencias, Inst Ciencias Basicas, Ejercito 441, Santiago, Chile
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2018年 / 176卷 / 03期
关键词：
Metric subregularity; Nonsmooth analysis; Generalized equation; OPTIMALITY CONDITIONS; ERROR-BOUNDS; STABILITY;
D O I：
10.1007/s10957-018-1246-0
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：
In this article, we study the metric subregularity of generalized equations using a new tool of nonsmooth analysis. We obtain a sufficient condition for a generalized equation to be metrically subregular, which is not a necessary condition for metric regularity, using a subtle adjustment of the Mordukhovich coderivative. We apply these results to the study of the metric subregularity in a Cournot duopoly game.
引用
收藏
页码：541 / 558
页数：18
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