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Stability of \(p\)-order metric regularity

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Publication:1639955
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DOI10.1007/s10013-018-0281-3zbMath1388.49016OpenAlexW2790067505MaRDI QIDQ1639955

Ng Kung-fu, Yi Ran He

Publication date: 13 June 2018

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-018-0281-3


zbMATH Keywords

perturbationfixed point theorem\(p\)-order metric regularityHölder continuous mapping


Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Set-valued and variational analysis (49J53)


Related Items (1)

Estimation of the modulus of Hölder metric regularity



Cites Work

  • Unnamed Item
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  • Nonlinear regularity models
  • Higher-order metric subregularity and its applications
  • Hölder metric regularity of set-valued maps
  • Slopes of multifunctions and extensions of metric regularity
  • Covering properties at positive-order rates of multifunctions and some related topics
  • Error Bounds in Metric Spaces and Application to the Perturbation Stability of Metric Regularity
  • An Inverse Mapping Theorem for Set-Valued Maps
  • Metric regularity and subdifferential calculus
  • The radius of metric regularity
  • A proof of the Lyusternik–Graves theorem
  • Implicit Functions and Solution Mappings


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