Differentiability of strongly paraconvex vector-valued functions

DOI10.7169/facm/1308749130zbMath1230.46037OpenAlexW2038357843MaRDI QIDQ548512

Stefan Rolewicz

Publication date: 29 June 2011

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1308749130

zbMATH Keywords

Fréchet differentiabilityGâteaux differentiability\(G_\delta\)-setstrongly paraconvex vector-valued function

Mathematics Subject Classification ID

Fréchet and Gateaux differentiability in optimization (49J50) Convex functions and convex programs in convex geometry (52A41) Convexity of real functions of several variables, generalizations (26B25) Derivatives of functions in infinite-dimensional spaces (46G05) Calculus of functions on infinite-dimensional spaces (26E15)

Related Items (2)

On the existence of directional derivatives for strongly cone-paraconvex mappings ⋮ On Gâteaux differentiability of strongly cone paraconvex vector-valued mappings

Cites Work

• Fréchet differentiability of convex functions
• On differentiability of strongly α(⋅)-paraconvex functions in non-separable Asplund spaces
• Über konvexe Mengen in linearen normierten Räumen
• An extension of Mazur's theorem on Gateaux differentiability to the class of strongly α(⋅)-paraconvex functions
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