Atribución-NoComercial 4.0 InternacionalRestrepo Sierra, Guillermo2019-06-282019-06-281971https://repositorio.unal.edu.co/handle/unal/42195The purpose of this note is to give a proof, hopefully new, of the inverse function theorem as an application of the local existence theorem for differential equations. If Ω  is an open subset of a Banach space E and T: Ω → E is of class C1, then T is locally bounded and satisfies a Lipschitz condition at every point.application/pdfspaDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/Artículo de revistahttp://bdigital.unal.edu.co/32292/info:eu-repo/semantics/openAccessfunction theoremtheoremdifferential equations