Distinct differentiable functions may share the same Clarke subdifferential at all points

DOI10.1090/S0002-9939-97-03654-XzbMath0883.49014MaRDI QIDQ4333015

Jonathan M. Borwein, Shawn Xianfu Wang

Publication date: 19 February 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

differentiabilityintegrabilityClarke subdifferentialLipschitz functiongeneralized derivativeapproximate continuitymetric densityIoffe-Mordukhovich-Kruger approximate subdifferential

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (2)

Remarks on necessary conditions for minimizers of one-dimensional variational problems ⋮ Essentially smooth Lipschitz functions

Cites Work

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• Some typical results on bounded Baire 1 functions
• Differentiation of real functions
• Approximate subdifferentials and applications 3: the metric theory
• Approximate Subdifferentials and Applications. I: The Finite Dimensional Theory
• Optimization and nonsmooth analysis

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