How to define "convex functions" on differentiable manifolds

DOI10.7151/DMDICO.1101zbMath1201.58005OpenAlexW2325928338MaRDI QIDQ3565738

Stefan Rolewicz

Publication date: 7 June 2010

Published in: Discussiones Mathematicae. Differential Inclusions, Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/1d16bd44b2f6f7478567f32e3ff7d06a2decac24

zbMATH Keywords

Fréchet differentiabilityGâteaux differentiabilitylocally strongly paraconvex functions

Mathematics Subject Classification ID

Differentiable manifolds, foundations (58A05) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Derivatives of functions in infinite-dimensional spaces (46G05) Calculus of functions on infinite-dimensional spaces (26E15)

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