Generalized versions of Ilmanen lemma: Insertion of $ C^{1,\omega} $ or $ C^{1,\omega}_{{\rm loc}} $ functions

DOI10.14712/1213-7243.2015.245zbMath1474.46125OpenAlexW2883218511MaRDI QIDQ4683351

Václav Kryštof

Publication date: 20 September 2018

Published in: Commentationes Mathematicae Universitatis Carolinae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14712/1213-7243.2015.245

zbMATH Keywords

semiconvex function with general modulus\(C^{1,\omega}\) functionIlmanen lemma

Mathematics Subject Classification ID

Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10)

Related Items (2)

On Whitney-type extension theorems on Banach spaces for \(C^{1, \omega}, C^{1,+}, C_{\operatorname{loc}}^{1, +}\), and \(C_{\operatorname{B}}^{1, +}\)-smooth functions ⋮ Functions on a convex set which are both $\omega$-semiconvex and $\omega$-semiconcave

Cites Work

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• Book review of: P. Hájek and M. Johanis, Smooth analysis in Banach spaces
• C ^{1,ω (·)} -regularity and Lipschitz-like properties of subdifferential
• On the coincidence of some subdifferentials in the class of α(.)-paraconvex functions
• Smooth partitions of unity on some non-separable Banach spaces
• Optimal transportation on non-compact manifolds

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