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On the multiplicity of Dini subgradients in separable spaces

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Publication:1877856
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DOI10.1016/j.na.2004.04.001zbMath1046.49010OpenAlexW2062179390MaRDI QIDQ1877856

Shawn Xianfu Wang, Philip D. Loewen

Publication date: 19 August 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.04.001


zbMATH Keywords

Hadamard differentiabilityDini subdifferentialLipschitz hypersurfaceregularly locally convex function


Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Fréchet and Gateaux differentiability in optimization (49J50) Derivatives of functions in infinite-dimensional spaces (46G05)


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On the approximate solutions of constrained inverse Lipschitz function problems and inverse function theorems ⋮ Bregman distances and Klee sets ⋮ Bregman distances and Chebyshev sets



Cites Work

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  • Convex functions, monotone operators and differentiability.
  • The differentiability of real functions on normed linear space using generalized subgradients
  • On the differentiation of convex functions in finite and infinite dimensional spaces
  • Partial subdifferentials, derivates and Rademacher’s Theorem
  • The size of the Dini subdifferential
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