arXiv subjects

M. Galewski

Publications and source records attributed to M. Galewski.

2 recordsLinked to original sources

arXiv2017

On a global implicit function theorem for locally Lipschitz maps via nonsmooth critical point theory

We prove a non-smooth generalization of the global implicit function theorem. More precisely we use the non-smooth local implicit function theorem and the non-smooth critical point theory in order to prove a non-smooth global implicit function theorem for locally Lipschitz functions. A comparison between several global inversion theorems is discussed.

math.CA↗

arXiv2015

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

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.

math.CA↗