  We consider the problem of finding sufficient conditions for a locally
Lipschitz mapping between Finsler manifolds to be a global homeomorphism. For
this purpose, we develop the notion of Clarke generalized differential in this
context and, using this, we obtain a version of the Hadamard integral condition
for invertibility. As consequences, we deduce some global inversion and global
injectivity results for Lipschitz mappings on $\mathbb{R}^n$ in terms of
spectral conditions of its Clarke generalized differential.
