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

页码：541 / 558

页数：18

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