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

00925njm 22002777a 4500 dc Jaramillo Aguado, Jesús Ángel author Madiedo Castro, Óscar Reynaldo author Sánchez González, Luis author 2013 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. 0944-6532 https://hdl.handle.net/20.500.14352/33476 http://www.heldermann-verlag.de/jca/jca20/jca1225_b.pdf http://www.heldermann-verlag.de/ http://arxiv.org/pdf/1201.4666v1.pdf Global inversion of nonsmooth mappings on Finsler manifolds