Global inversion of nonsmooth mappings using pseudo-Jacobian matrices

Jesús A. Jaramillo, Oscar Madiedo, Luis Sánchez-González

We study the global inversion of a continuous nonsmooth mapping $f:{\mathbb{R}}^n\to {\mathbb{R}}^n$, which may be non-locally Lipschitz. To this end, we use the notion of ps…