Geodesic
Estimation of the Modulus of H\"older Metric Regularity
Funkcionalʹnyj analiz i ego priloženiâ, Tome 56 (2022) no. 2, pp. 75-81

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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. 
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     author = {W. Xu},
     title = {Estimation of the {Modulus} of {H\"older} {Metric} {Regularity}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/FAA_2022_56_2_a6/}
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W. Xu. Estimation of the Modulus of H\"older Metric Regularity. Funkcionalʹnyj analiz i ego priloženiâ, Tome 56 (2022) no. 2, pp. 75-81. http://geodesic.mathdoc.fr/item/FAA_2022_56_2_a6/