Integrability of subdifferentials of directionally Lipschitz functions

DOI10.1090/S0002-9939-05-07883-4zbMath1079.49017OpenAlexW1518503533MaRDI QIDQ5461305

Nadia P. Zlateva, Lionel Thibault

Publication date: 26 July 2005

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-05-07883-4

zbMATH Keywords

integrabilitysubdifferentialdirectionally Lipschitz function

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20)

Related Items

Links between functions and subdifferentials, Integrability of subdifferentials of certain bivariate functions., Integration formulas via the Fenchel subdifferential of nonconvex functions, New Multirectional Mean Value Inequality, Subdifferential representation formula and subdifferential criteria for the behavior of nonsmooth functions, Conservative set valued fields, automatic differentiation, stochastic gradient methods and deep learning, Barrier functions in the subdifferential theory, Unnamed Item