RT Journal Article
T1 Global inversion of nonsmooth mappings using pseudo-Jacobian matrices
A1 Jaramillo Aguado, Jesús Ángel
A1 Madiedo Castro, Óscar Reynaldo
A1 Sánchez González, Luis
AB 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.
PB Elsevier
SN 0362-546X
YR 2014
FD 2014
LK https://hdl.handle.net/20.500.14352/33653
UL https://hdl.handle.net/20.500.14352/33653
LA eng
NO MINECO Project (Spain)
NO CONICYT-Chile through FONDECYT project
DS Docta Complutense
RD 11 abr 2025