Geodesic
Estimation of the Modulus of Hölder Metric Regularity
Funkcionalʹnyj analiz i ego priloženiâ, Tome 56 (2022) no. 2, pp. 75-81 Cet article a éte moissonné depuis la source Math-Net.Ru

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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: generalized $p$th-order Clarke-like set, generalized graphical derivative, $p$th variation.
Mots-clés : Hölder metric regularity 
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W. Xu. Estimation of the Modulus of Hölder 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/

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