ROBINSON STABILITY OF PARAMETRIC CONSTRAINT SYSTEMS VIA VARIATIONAL ANALYSIS

被引：27
|
作者：
Gfrerer, Helmut [1 ]
Mordukhovich, Boris S. [2 ,3 ]
机构：
[1] Johannes Kepler Univ Linz, Inst Computat Math, A-4040 Linz, Austria
[2] Wayne State Univ, Dept Math, Detroit, MI 48202 USA
[3] RUDN Univ, Moscow 117198, Russia
来源：
SIAM JOURNAL ON OPTIMIZATION | 2017年 / 27卷 / 01期
基金：
奥地利科学基金会; 美国国家科学基金会;
关键词：
parametric constraint systems; Robinson stability; variational analysis; first- and second-order generalized differentiation; metric regularity and subregularity; METRIC SUBREGULARITY; OPTIMALITY CONDITIONS; QUALIFICATION CONDITIONS; IMPLICIT MULTIFUNCTIONS; MATHEMATICAL PROGRAMS; BANACH-SPACES; ERROR-BOUNDS; OPTIMIZATION; 2ND-ORDER; CALMNESS;
D O I：
10.1137/16M1086881
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigates a well-posedness property of parametric constraint systems which we call Robinson stability. Based on advanced tools of variational analysis and generalized differentiation, we derive first- and second-order conditions for this property under minimal constraint qualifications and establish relationships of Robinson stability with other well-posedness properties in variational analysis and optimization. The results obtained are applied to robust Lipschitzian stability of parametric variational systems.
引用
收藏
页码：438 / 465
页数：28
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