Approximate Rolle's theorems for the proximal subgradient and the generalized gradient.

DOI10.1016/S0022-247X(03)00267-1zbMath1034.46040OpenAlexW2019055612MaRDI QIDQ1404904

Juan Ferrera, Fernando López-Mesas, Daniel Azagra

Publication date: 25 August 2003

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

Full work available at URL: https://doi.org/10.1016/s0022-247x(03)00267-1

zbMATH Keywords

Rolle theoremgeneralized gradientproximinal subspace

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (3)

Characterization of lower semicontinuous convex functions on Riemannian manifolds ⋮ Applications of proximal calculus to fixed point theory on Riemannian manifolds ⋮ Remarks on the infinite‐dimensional counterparts of the Darboux theorem

Cites Work

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• Some remarks on sub-differential calculus
• On Rolle's theorem in infinite-dimensional Banach spaces
• Rolle's theorem and negligibility of points in infinite dimensional Banach spaces
• Nonconvex minimization problems
• Subdifferential Rolle's and mean value inequality theorems
• Rolle's Theorem Fails in l 2
• The failure of Rolle's theorem in infinite-dimensional Banach spaces

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