Metric Subregularity and ω(⋅)-Normal Regularity Properties

被引：0
|
作者：
Nacry, Florent [1 ]
Nguyen, Vo Anh Thuong [1 ]
Venel, Juliette [2 ]
机构：
[1] Univ Perpignan Via Domitia, LAMPS, F-66000 Perpignan, France
[2] Univ Polytech Hauts De France, INSA Hauts De France, CERAMATHS, F-59313 Valenciennes, France
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2024年 / 203卷 / 02期
关键词：
Normal regularity; Prox-regularity; Subsmoothness; Metric regularity; Metric subregularity; GENERALIZED EQUATIONS; DISTANCE FUNCTIONS; WEAK CONVEXITY; SETS;
D O I：
10.1007/s10957-024-02476-5
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 paper, we establish through an openness condition the metric subregularity of a multimapping with normal omega(& sdot;)-regularity of either the graph or values. Various preservation results for prox-regular and subsmooth sets are also provided.
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页码：1439 / 1470
页数：32
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