Generalized Hessian for \(C^{1,1}\) functions in infinite dimensional normed spaces

DOI10.1007/BF02592147zbMath0866.49023OpenAlexW1967069096MaRDI QIDQ1352305

Zsolt Páles, Vera Zeidan

Publication date: 18 June 1997

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02592147

zbMATH Keywords

generalized directional derivativesgeneralized Hessian

Mathematics Subject Classification ID

Nonsmooth analysis (49J52)

Related Items (8)

Support functions of the Clarke generalized Jacobian and of its plenary hull ⋮ Constructing a sequence of discrete Hessian matrices of an \(SC^{1}\) function uniformly convergent to the generalized Hessian matrix ⋮ New second-order limiting directional derivatives and \(C^1\)-optimization ⋮ Feasible perturbations of control systems with pure state constraints and applications to second-order optimality conditions ⋮ Stability in generalized differentiability based on a set convergence principle ⋮ Minimal approximate Hessians for continuously Gâteaux differentiable functions ⋮ Nonsmooth continuous-time optimization problems: Sufficient conditions ⋮ On relations and applications of generalized second-order directional derivatives

Cites Work

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• Characterizations of the plenary hull of the generalized Jacobian matrix
• Second-Order Optimality Conditions in Nonlinear Programming Obtained by Way of Epi-Derivatives
• Sufficient Conditions for the Generalized Problem of Bolza
• Optimization and nonsmooth analysis
• Nonsmooth Analysis: Differential Calculus of Nondifferentiable Mappings
• First- and Second-Order Epi-Differentiability in Nonlinear Programming
• A unified theory of first and second order conditions for extremum problems in topological vector spaces
• Second-order conditions in c^{1, 1}optimization with applications
• On Generalized Second-Order Derivatives and Taylor Expansions in Nonsmooth Optimization
• Nonsmooth Optimum Problems with Constraints
• First- and Second-Order Necessary Conditions for Control Problems with Constraints
• Generalized second-order directional derivatives and optimization with C^1,1 functions

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