Characterization of strict convexity for locally Lipschitz functions

DOI10.1216/RMJ-2009-39-6-2029zbMath1192.49019MaRDI QIDQ1047553

Karel Pastor

Publication date: 5 January 2010

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

monotone operatorstrict convexityClarke subdifferentiallocally Lipschitz functionsgeneralized second-order derivative

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Monotone operators and generalizations (47H05) Convex functions and convex programs in convex geometry (52A41) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Convexity of real functions of several variables, generalizations (26B25) Set-valued and function-space-valued mappings on manifolds (58C06) Real-valued functions on manifolds (58C05)

Related Items (3)

Sharpening celebrated convex inequalities with applications to operators and entropies ⋮ Pseudo-differential and characterization of generalized convex functions on Riemannian manifolds ⋮ On relations of vector optimization results with \(C^{1,1}\) data

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