Subdifferentiability spaces and nonsmooth analysis

DOI10.1090/S0273-0979-1984-15194-2zbMath0554.58008MaRDI QIDQ3217285

Alexander D. Ioffe

Publication date: 1984

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

nonsmooth analysislower semicontinuous nonconvex functionssubdifferentiability Banach space

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items

ε-Subdifferential and ε-monotonicity, On the relations between some second-order derivatives, Approximately convex functions and approximately monotonic operators, Generalized monotonicity of subdifferentials and generalized convexity, Generalized gradients of Lipschitz functionals, On classes of subdifferentiability spaces of Ioffe, On the local surjection property, DIRECTIONAL COMPACTNESS, SCALARIZATION AND NONSMOOTH SEMI-FREDHOLM MAPPINGS, Directionally limiting subdifferentials and second-order optimality conditions, Softness, sleekness and regularity properties in nonsmooth analysis, The linear generalized gradient in infinite dimensions, Variational subdifferential for quasiconvex functions, Nonsmooth analysis on smooth manifolds, Subdifferentiation of regularized functions, The integral theory of Ioffe's fans

Cites Work

• Fréchet differentiability of convex functions
• Generic Frechet-Differentiability and Perturbed Optimization Problems in Banach Spaces
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