2026-07-28T16:51:34Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/334762025-02-11T17:13:28Zcom_20.500.14352_14col_20.500.14352_15

Global inversion of nonsmooth mappings on Finsler manifolds Jaramillo Aguado, Jesús Ángel Madiedo Castro, Óscar Reynaldo Sánchez González, Luis We consider the problem of finding sufficient conditions for a locally Lipschitz mapping between Finsler manifolds to be a global homeomorphism. For this purpose, we develop the notion of Clarke generalized differential in this context and, using this, we obtain a version of the Hadamard integral condition for invertibility. As consequences, we deduce some global inversion and global injectivity results for Lipschitz mappings on R-n in terms of spectral conditions of its Clarke generalized differential. 2023-06-19T13:23:15Z 2023-06-19T13:23:15Z 2023-06-19T13:23:15Z 2013 journal article https://hdl.handle.net/20.500.14352/33476 0944-6532 eng BES2010-031192 MTM2009-07848 MEC AP2007-00868 open access Heldermann Verlag