On the generalized Jacobian of the inverse of a Lipschitzian mapping

DOI10.1007/s11228-022-00640-5OpenAlexW4229020201MaRDI QIDQ2677668

Yanyan Li

Publication date: 5 January 2023

Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11228-022-00640-5

zbMATH Keywords

Lipschitzian mappinggeneralized Jacobianinverse function theorem

Mathematics Subject Classification ID

Implicit function theorems, Jacobians, transformations with several variables (26B10) Convex sets and cones of operators (47L07) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07)

Related Items (1)

A note on Clarke's generalized Jacobian for the inverse of bi-Lipschitz maps

Cites Work

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• Fat homeomorphisms and unbounded derivate containers
• On the inverse function theorem
• Nonsmooth approach to optimization problems with equilibrium constraints. Theory, applications and numerical results
• Tangent Cones, Generalized Gradients and Mathematical Programming in Banach Spaces
• Every compact convex subset of matrices is the Clarke Jacobian of some Lipschitzian mapping

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