Generic Gateaux differentiability via smooth perturbations

DOI10.1017/S0004972700031208zbMath0912.46048OpenAlexW2092902484MaRDI QIDQ4380514

Pando Grigorov Georgiev, Nadia P. Zlateva

Publication date: 17 March 1998

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700031208

zbMATH Keywords

Gâteaux differentiabledirectionally differentiableLipschitz uniformly Gâteaux smooth bump function

Mathematics Subject Classification ID

Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (1)

Porosity and differentiability in smooth Banach spaces

Cites Work

• A smooth variational principle with applications to Hamilton-Jacobi equations in infinite dimensions
• A Smooth Variational Principle With Applications to Subdifferentiability and to Differentiability of Convex Functions
• Nonconvex minimization problems
• On Intermediate Differentiability of Lipschitz Functions on Certain Banach Spaces
• Generic Frechet-Differentiability and Perturbed Optimization Problems in Banach Spaces

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