The subdifferentiability properties of typical functions in \(C[0,1]\)

DOI10.1006/jmaa.1997.5794zbMath0896.49008OpenAlexW2031789131MaRDI QIDQ1381611

Shawn Xianfu Wang

Publication date: 1 October 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5794

zbMATH Keywords

Clarke subdifferentialDini derivativestypical functionsDini subdifferentialIoffe-Mordukhovich-Kruger approximate subdifferentialJeyakumar convexification

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Singular functions, Cantor functions, functions with other special properties (26A30) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

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