On Pseudo-Differentiability

DOI10.2307/2001744zbMath0748.49010OpenAlexW4235552419MaRDI QIDQ3971346

Roberto Cominetti

Publication date: 25 June 1992

Full work available at URL: https://doi.org/10.2307/2001744

zbMATH Keywords

nonsmooth analysisMosco convergenceepi-convergencesubgradientpseudo-derivativefirst and second order differential approximation of nondifferential functions

Mathematics Subject Classification ID

Nonlinear programming (90C30) Nonsmooth analysis (49J52) Fréchet and Gateaux differentiability in optimization (49J50) Methods involving semicontinuity and convergence; relaxation (49J45) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Continuity and differentiation questions (26B05) Real-valued functions on manifolds (58C05)

Related Items (14)

Generalized second-order characterizations of convex functions ⋮ On the relations between some second-order derivatives ⋮ Second-order normal vectors to a convex epigraph ⋮ Sub-hessians, super-hessians and conjugation ⋮ Higher-Order Optimality Conditions and Higher-Order Tangent Sets ⋮ Twice Epi-Differentiability of Extended-Real-Valued Functions with Applications in Composite Optimization ⋮ Prox-regular functions in variational analysis ⋮ Second-order optimality conditions with arbitrary nondifferentiable function in scalar and vector optimization ⋮ Variational analysis of a composite function: A formula for the lower second order epi-derivative ⋮ A chain rule for parabolic second-order epiderivatives ⋮ Epi-Derivatives of Integral Functionals with Applications ⋮ First- and second-order epi-differentiability in eigenvalue optimization ⋮ Second-order epi-derivatives of integral functionals ⋮ Calculus for parabolic second-order derivatives

Cites Work

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• Lipschitz Behavior of Solutions to Convex Minimization Problems
• Nonsmooth Analysis: Differential Calculus of Nondifferentiable Mappings
• First- and Second-Order Epi-Differentiability in Nonlinear Programming
• Regularity and Stability for Convex Multivalued Functions
• Preservation of Convergence of Convex Sets and Functions in Finite Dimensions
• Necessary and sufficient optimality conditions for a class of nonsmooth minimization problems
• On regularity conditions in mathematical programming
• A unified theory of first and second order conditions for extremum problems in topological vector spaces
• Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems
• On Sufficient Conditions in Nonsmooth Optimization
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