A proof of the inverse function theorem
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Restrepo Sierra, Guillermo
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EspañolFecha de publicación
1971
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The 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.