Subdifferential Determination of Essentially Directionally Smooth Functions in Banach Space

DOI10.1137/090754571zbMath1208.49011OpenAlexW2139691799MaRDI QIDQ3083288

Dariusz Zagrodny, Lionel Thibault

Publication date: 21 March 2011

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/090754571

zbMATH Keywords

convex functionsDC functionssubdifferential determinationessentially directionally smooth functionarcwise essentially smooth functionintegration of subdifferentialspln functionssemismooth property

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20)

Related Items (10)

Links between functions and subdifferentials ⋮ The strong convergence of subgradients of convex functions along directions: perspectives and open problems ⋮ Unnamed Item ⋮ Determining functions by slopes ⋮ Proximal determination of convex functions ⋮ Differential properties of the Moreau envelope ⋮ Determination of convex functions via subgradients of minimal norm ⋮ Upper semismooth functions and the subdifferential determination property ⋮ Subdifferential estimate of the directional derivative, optimality criterion and separation principles ⋮ On approximate solutions for nonsmooth robust multiobjective optimization problems

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