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

共 50 条

[41] Sufficient Conditions for Metric Subregularity of Constraint Systems with Applications to Disjunctive and Ortho-Disjunctive Programs
Benko, Matus
Cervinka, Michal
Hoheisel, Tim
SET-VALUED AND VARIATIONAL ANALYSIS, 2022, 30 (01) : 143 - 177
[42] On metric subregularity for convex constraint systems by primal equivalent conditions
Liyun Huang
Zhou Wei
Optimization Letters, 2017, 11 : 1713 - 1728
[43] On Directional Metric Regularity, Subregularity and Optimality Conditions for Nonsmooth Mathematical Programs
Gfrerer, Helmut
SET-VALUED AND VARIATIONAL ANALYSIS, 2013, 21 (02) : 151 - 176
[44] Metric Subregularity for a Piecewise Linear Mapping between two Banach Spaces
Zheng, Xi Yin
Sun, Yuhao
Tang, Wenqi
JOURNAL OF CONVEX ANALYSIS, 2025, 32 (03) : 937 - 950
[45] Generic linear convergence through metric subregularity in a variable-metric extension of the proximal point algorithm
R. Tyrrell Rockafellar
Computational Optimization and Applications, 2023, 86 : 1327 - 1346
[46] Generic linear convergence through metric subregularity in a variable-metric extension of the proximal point algorithm
Rockafellar, R. Tyrrell
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2023, 86 (03) : 1327 - 1346
[47] Local convergence of the Levenberg-Marquardt method under Holder metric subregularity
Ahookhosh, Masoud
Aragon Artacho, Francisco J.
Fleming, Ronan M. T.
Vuong, Phan T.
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2019, 45 (5-6) : 2771 - 2806
[48] Directional Metric Pseudo Subregularity of Set-valued Mappings: a General Model
Huynh Van Ngai
Nguyen Huu Tron
Nguyen Van Vu
Michel Théra
Set-Valued and Variational Analysis, 2020, 28 : 61 - 87
[49] A sufficient condition for metric subregularity of set-valued mappings between Asplund spaces based on an outer-coderivative-like variational tool
Marechal, Matthieu
HELIYON, 2023, 9 (10)
[50] Linear convergence of event-triggered distributed optimization with metric subregularity condition
Yu, Xin
Cheng, Songsong
Qiu, Jianbin
Fan, Yuan
ASIAN JOURNAL OF CONTROL, 2025, 27 (02) : 750 - 764

← 1 2 3 4 5 →