On the Generalized Jacobian of the Inverse of a Lipschitzian Mapping
Résumé
The objective of this short note is to provide an estimate of the generalized Jacobian of the inverse of a Lipschitzian mapping when Clarke’s inverse function theorem applies. Contrary to the classical C1 case, inverting matrices of the generalized Jacobian is not enough. Simple counterexamples show that our results are sharp.