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Funktsional'nyi Analiz i ego Prilozheniya, 2022, Volume 56, Issue 2, Pages 75–81
DOI: https://doi.org/10.4213/faa3949 (Mi faa3949) 		 
Estimation of the Modulus of Hölder Metric Regularity

W. Xuab

a Department of Mathematics, Sichuan Tourism University
b Sichuan University, Department of Mathematics
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DOI: https://doi.org/10.4213/faa3949
Abstract: This paper mainly studies the modulus of Hölder metric regularity. The concepts of a generalized $p$-order Clarke-like set and generalized graphical derivative are introduced and used to estimate this modulus. The main result implies that it is bounded above by the upper limit of the inner norm of the inverse of generalized graphical derivative.
Keywords: Hölder metric regularity, generalized $p$th-order Clarke-like set, generalized graphical derivative, $p$th variation.
Funding agency Grant number
National Natural Science Foundation of China 11901414
Foundation of Sichuan Tourism University 20SCTUTY01
Received: 10.10.2021
Revised: 01.12.2021
Accepted: 14.12.2021
English version:
Functional Analysis and Its Applications, 2022, Volume 56, Issue 2, Pages 138–143
DOI: https://doi.org/10.1134/S0016266322020071
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: English
Citation: W. Xu, “Estimation of the Modulus of Hölder Metric Regularity”, Funktsional. Anal. i Prilozhen., 56:2 (2022), 75–81; Funct. Anal. Appl., 56:2 (2022), 138–143
Citation in format AMSBIB
\Bibitem{Xu22}
\by W.~Xu
\paper Estimation of the Modulus of H\"older Metric Regularity
\jour Funktsional. Anal. i Prilozhen.
\yr 2022
\vol 56
\issue 2
\pages 75--81
\mathnet{http://mi.mathnet.ru/faa3949}
\crossref{https://doi.org/10.4213/faa3949}
\transl
\jour Funct. Anal. Appl.
\yr 2022
\vol 56
\issue 2
\pages 138--143
\crossref{https://doi.org/10.1134/S0016266322020071}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85139616609}
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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