Article

A note on a global invertibility of mappings on Rⁿ

Published in: Quaestiones Mathematicae
Volume 39 , issue 5 , 2016 , pages: 683–688

DOI: 10.2989/16073606.2015.1121933

Author(s): Marek Galewski Institute of Mathematics, Lodz University of Technology, Poland

Keywords: 57R50 , 58E05 , 57R50 , 58E05

Abstract

We provide sufficient conditions for a mapping f : Rⁿ → Rⁿ to be a global diﬀeomorphism in case f need not be continuously diﬀerentiable. Instead it is assumed to be strictly (Hadamard-like) and Fréchet diﬀerentiable. We use classical local invertibility conditions together with the non-smooth critical point theory.

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