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
收藏
页码：1439 / 1470
页数：32
相关论文
共 50 条
  • [31] Strong metric subregularity of mappings in variational analysis and optimization
    Cibulka, R.
    Dontchev, A. L.
    Kruger, A. Y.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 457 (02) : 1247 - 1282
  • [32] METRIC SUBREGULARITY FOR NONCLOSED CONVEX MULTIFUNCTIONS IN NORMED SPACES
    Zheng, Xi Yin
    Ng, Kung Fu
    ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2010, 16 (03) : 601 - 617
  • [33] Holder metric subregularity for constraint systems in Asplund spaces
    Ouyang, Wei
    Zhang, Binbin
    Zhu, Jiangxing
    POSITIVITY, 2019, 23 (01) : 161 - 175
  • [34] Directional regularity and metric regularity
    Arutyunov, Aram V.
    Avakov, Evgeniy R.
    Izmailov, Alexey F.
    SIAM JOURNAL ON OPTIMIZATION, 2007, 18 (03) : 810 - 833
  • [35] On metric regularity in metric spaces
    Gautier, S
    Pichard, K
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2003, 67 (02) : 317 - 328
  • [36] Robust and continuous metric subregularity for linear inequality systems
    J. Camacho
    M. J. Cánovas
    M. A. López
    J. Parra
    Computational Optimization and Applications, 2023, 86 : 967 - 988
  • [37] Higher-order metric subregularity and its applications
    Mordukhovich, Boris S.
    Ouyang, Wei
    JOURNAL OF GLOBAL OPTIMIZATION, 2015, 63 (04) : 777 - 795
  • [38] Higher-order metric subregularity and its applications
    Boris S. Mordukhovich
    Wei Ouyang
    Journal of Global Optimization, 2015, 63 : 777 - 795
  • [39] Enhanced metric regularity and Lipschitzian properties of variational systems
    Francisco J. Aragón Artacho
    Boris S. Mordukhovich
    Journal of Global Optimization, 2011, 50 : 145 - 167
  • [40] Enhanced metric regularity and Lipschitzian properties of variational systems
    Aragon Artacho, Francisco J.
    Mordukhovich, Boris S.
    JOURNAL OF GLOBAL OPTIMIZATION, 2011, 50 (01) : 145 - 167
12345