On the Dini–Hadamard-like coderivative of the difference of two single-valued mappings

In this paper we obtain a difference rule for the Dini–Hadamard-like coderivative involving spongiously Lipschitz and strongly spongiously continuous mappings. We also provide a short overview of all the spongious continuity notions, emphasizing the connections between them.

Bibliographic Details

Published in:	Rendiconti del Circolo matematico di Palermo Vol. 70; no. 1; pp. 295 - 310
Main Authors:	Baias, Alina Ramona, Kerekes, Delia Maria
Format:	Journal Article
Language:	English
Published:	Milan Springer Milan 01.04.2021 Springer Nature B.V
Subjects:	Algebra Analysis Applications of Mathematics Geometry Mathematics Mathematics and Statistics Fréchet subdifferential Dini–Hadamard subdifferential 49J52 90C56 Difference rule 26B25 Smooth functions
ISSN:	0009-725X, 1973-4409
Online Access:	Get full text
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