A note on a global invertibility of locally lipschitz functions on $R^n$

TL;DR

This paper establishes sufficient conditions for the invertibility of locally Lipschitz functions on R^n using classical invertibility criteria and non-smooth critical point theory.

Contribution

It introduces a novel combination of classical invertibility conditions with non-smooth critical point theory for locally Lipschitz functions.

Findings

Provides new criteria for invertibility of locally Lipschitz functions.

Bridges classical invertibility conditions with non-smooth analysis.

Enhances understanding of invertibility in non-smooth contexts.

Abstract

We provide sufficient conditions for a locally lipschitz mapping to be invertible . We use classical local invertibility conditions together with the non-smooth critical point theory.