Subdifferentiability of real functions

DOI10.14321/REALANALEXCH.30.1.0137zbMath1061.49016OpenAlexW1577242220MaRDI QIDQ1772931

Shawn Xianfu Wang

Publication date: 22 April 2005

Published in: Real Analysis Exchange (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14321/realanalexch.30.1.0137

zbMATH Keywords

Weierstrass functionClarke subdifferentialCantor functionLipschitz functionDini derivativenowhere monotone function

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Singular functions, Cantor functions, functions with other special properties (26A30) Monotonic functions, generalizations (26A48)

Related Items (6)

Second-order optimality conditions for constrained optimization problems with \(C^1\) data via regular and limiting subdifferentials ⋮ Second-order subdifferentials and convexity of real-valued functions ⋮ Subgradient projectors: extensions, theory, and characterizations ⋮ Linear Structure of Functions with Maximal Clarke Subdifferential ⋮ Characterization of Filippov representable maps and Clarke subdifferentials ⋮ Unnamed Item

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