%0 Journal Article
%A Jaramillo Aguado, Jesús Ángel
%A Madiedo Castro, Óscar Reynaldo
%A Sánchez González, Luis
%T Global inversion of nonsmooth mappings using pseudo-Jacobian matrices
%D 2014
%@ 0362-546X
%U https://hdl.handle.net/20.500.14352/33653
%X We study the global inversion of a continuous nonsmooth mapping f : R-n -> R-n, which may be non-locally Lipschitz. To this end, we use the notion of pseudo-Jacobian map associated to f, introduced by Jeyakumar and Luc, and we consider a related index of regularity for f. We obtain a characterization of global inversion in terms of its index of regularity. Furthermore, we prove that the Hadamard integral condition has a natural counterpart in this setting, providing a sufficient condition for global invertibility.
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