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Estimation of the modulus of Hölder metric regularity

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Publication:2080920
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DOI10.1134/S0016266322020071zbMath1498.49028OpenAlexW4312995041MaRDI QIDQ2080920

Wending Xu

Publication date: 12 October 2022

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0016266322020071


zbMATH Keywords

Hölder metric regularity\(p\)th variationgeneralized \(p\)th-order Clarke-like setgeneralized graphical derivative


Mathematics Subject Classification ID

Set-valued and variational analysis (49J53)




Cites Work

  • Unnamed Item
  • A nonsmooth Robinson's inverse function theorem in Banach spaces
  • Strongly regular nonsmooth generalized equations
  • Some inverse mapping theorems
  • High order inverse function theorems
  • On inverse function theorems for set-valued maps
  • Inverse and implicit function theorems for nonsmooth maps in Banach spaces
  • Stability of \(p\)-order metric regularity
  • Hölder metric regularity of set-valued maps
  • Complete Characterization of Openness, Metric Regularity, and Lipschitzian Properties of Multifunctions
  • Variational Analysis
  • The radius of metric regularity
  • A proof of the Lyusternik–Graves theorem
  • Implicit Functions and Solution Mappings
  • Set-valued analysis


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