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.

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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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Summary: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.
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content type line 14
ISSN:0009-725X
1973-4409
DOI:10.1007/s12215-020-00498-2