Generic Differentiability of Lipschitzian Functions
From MaRDI portal
Publication:3874747
DOI10.2307/1998104zbMath0435.46031OpenAlexW4238121167MaRDI QIDQ3874747
Publication date: 1979
Full work available at URL: https://doi.org/10.2307/1998104
subdifferentialBaire spacegeneralized gradientRademacher theoremlocally Lipschitzian functionGateaux and Frechet derivatives
Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Derivatives of functions in infinite-dimensional spaces (46G05) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)
Related Items
Subsmooth sets: Functional characterizations and related concepts, On characterization of convexity for regularly locally Lipschitz functions, Cyclic hypomonotonicity, cyclic submonotonicity, and integration, Tangencially continuous directional derivatives in nonsmooth analysis, Approximately convex functions and approximately monotonic operators, Convergence of constant step stochastic gradient descent for non-smooth non-convex functions, The hypertangent cone, Differentiable and Lipschitzian mappings of Banach spaces, A General Sufficiency Theorem for Nonsmooth Nonlinear Programming, A generalized mean-value theorem and optimality conditions in composite nonsmooth minimization, Directional derivative of a minimax function, Lyapunov stability of the subgradient method with constant step size, On second-order optimality conditions in constrained multiobjective optimization, Pathological Subgradient Dynamics, First order sensitivity analysis of symplectic eigenvalues, Infinite dimensional generalized Jacobian: properties and calculus rules, Generalized gradients of Lipschitz functionals, Unnamed Item, Approximate convexity and submonotonicity., Unnamed Item, Linear Structure of Functions with Maximal Clarke Subdifferential, Cross-nonnegativity and monotonicity analysis of nonlinear dynamical systems, Generalized Jacobian for functions with infinite dimensional range and domain, Softness, sleekness and regularity properties in nonsmooth analysis, Geometric conditions of differentiability for a regular locally Lipschitz function, A differential operator and weak topology for Lipschitz maps, Generalized convexity in nondifferentiable programming, Convexity and generalized second-order derivatives for locally Lipschitz functions, The smooth variational principle and generic differentiability, Co-Jacobian for Lipschitzian maps, Mean value in invexity analysis, Unnamed Item, A characterization of tangential regularity, Characterization of strict convexity for locally Lipschitz functions, (Sub-)Gradient Formulae for Probability Functions of Random Inequality Systems under Gaussian Distribution, Integration of multivalued operators and cyclic submonotonicity
Cites Work
- Geometry of Banach spaces. Selected topics
- Banach spaces which are Asplund spaces
- Contrôle dans les inéquations variationelles elliptiques
- Fréchet differentiability of convex functions
- Generalized Gradients and Applications
- Generic Frechet-Differentiability and Perturbed Optimization Problems in Banach Spaces
- Differentiability of Lipschitzian mappings between Banach spaces
- A New Approach to Lagrange Multipliers
- Gradients of Convex Functions
- Sets Which Split Families of Measurable Sets
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
