C 1,ω (·) -regularity and Lipschitz-like properties of subdifferential

DOI10.1112/plms/pdr062zbMath1251.49021OpenAlexW1924140682MaRDI QIDQ2901909

Dariusz Zagrodny, Lionel Thibault, Abderrahim Jourani

Publication date: 31 July 2012

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/pdr062

zbMATH Keywords

subdifferentiallower semicontinuous convex functiondirectionally essentially smooth functions

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Fréchet and Gateaux differentiability in optimization (49J50) Set-valued operators (47H04) Selections in general topology (54C65) Regularity of solutions in optimal control (49N60) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20)

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