Continuous Fréchet differentiability of the Moreau envelope of convex functions on Banach spaces

DOI10.1007/s10957-022-02126-8zbMath1501.58002OpenAlexW4308338230MaRDI QIDQ2095571

Bao Tran Nguyen, Pham Duy Khanh

Publication date: 17 November 2022

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-022-02126-8

zbMATH Keywords

Fréchet differentiabilityconvex functionstrict convexityMoreau envelopeproximal mappinglocal uniform convexity

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Fréchet and Gateaux differentiability in optimization (49J50) Existence theories for problems in abstract spaces (49J27) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20)

Cites Work

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