Jaramillo Aguado, Jesús ÁngelMadiedo Castro, Óscar ReynaldoSánchez González, Luis2023-06-192023-06-1920140362-546X10.1016/j.na.2014.05.010https://hdl.handle.net/20.500.14352/33653We 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.engjournal articlehttp://www.sciencedirect.com/science/article/pii/S0362546X14001813#http://arxiv.org/abs/1311.2815http://www.sciencedirect.com/restricted access517Global inversionPseudo-Jacobian matricesAnálisis matemático1202 Análisis y Análisis Funcional