Gâteaux differentiability of Lipschitz functions via directional derivatives.

DOI10.14321/realanalexch.28.2.0287zbMath1049.49018OpenAlexW1924424974MaRDI QIDQ595876

Luděk Zajíček, Aleš Nekvinda

Publication date: 6 August 2004

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

Full work available at URL: https://projecteuclid.org/euclid.rae/1184963797

zbMATH Keywords

directional derivativesLipschitz surfacesGâteaux differentiabilityLipschitz functionsseparable Banach spaces

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Fréchet and Gateaux differentiability in optimization (49J50) Continuity and differentiation questions (26B05) Continuous and differentiable maps in nonlinear functional analysis (46T20) Derivatives of functions in infinite-dimensional spaces (46G05)

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