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.

引用

页码：1439 / 1470

页数：32

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