Approximation and Gâteaux differentiability of convex function in Banach spaces

DOI10.1002/mana.201900462OpenAlexW4200430904MaRDI QIDQ6094023

Shaoqiang Shang, Yun An Cui

Publication date: 9 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201900462

zbMATH Keywords

approximationconvex functionsseparable spacesGâteaux differentiability spaces

Mathematics Subject Classification ID

Fréchet and Gateaux differentiability in optimization (49J50) Geometry and structure of normed linear spaces (46B20) Nonseparable Banach spaces (46B26) Derivatives of functions in infinite-dimensional spaces (46G05)

Cites Work

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• The product of a Gâteaux differentiability space and a separable space is a Gâteaux differentiability space
• A Smooth Variational Principle With Applications to Subdifferentiability and to Differentiability of Convex Functions
• Lipschitz $r$-continuity of the approximative subdifferential of a convex function.
• Gateaux Differentiability of Convex Functions on Banach Spaces
• Generic Frechet-Differentiability and Perturbed Optimization Problems in Banach Spaces
• A Gâteaux differentiability space that is not weak Asplund

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