Support functions of the Clarke generalized Jacobian and of its plenary hull

DOI10.1016/S0362-546X(01)00730-1zbMath1009.49017WikidataQ126382782 ScholiaQ126382782MaRDI QIDQ1612547

Cyril Imbert

Publication date: 25 August 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

vector-valued functionsupport functiongeneralized JacobianClarke-Jacobian chain ruleplenary hull

Mathematics Subject Classification ID

Nonsmooth analysis (49J52)

Related Items (7)

Domain theoretic second-order Euler's method for solving initial value problems ⋮ A family of non-oscillatory 6-point interpolatory subdivision schemes ⋮ Infinite dimensional generalized Jacobian: properties and calculus rules ⋮ Generalized derivatives for solutions of parametric ordinary differential equations with non-differentiable right-hand sides ⋮ Generalized Jacobian for functions with infinite dimensional range and domain ⋮ Generalized derivatives of differential-algebraic equations ⋮ On nonsmooth global implicit function theorems for locally Lipschitz functions from Banach spaces to Euclidean spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalized Hessian matrix and second-order optimality conditions for problems with \(C^{1,1}\) data
• Fat homeomorphisms and unbounded derivate containers
• A minimal set-valued strong derivative for vector-valued Lipschitz functions
• Generalized Hessian for \(C^{1,1}\) functions in infinite dimensional normed spaces
• A Generalized Second-Order Derivative in Nonsmooth Optimization
• Characterizations of the plenary hull of the generalized Jacobian matrix
• Generalized Gradients and Applications

This page was built for publication: Support functions of the Clarke generalized Jacobian and of its plenary hull