Abstract
This article presents simple and easy proofs of the Implicit Function Theorem and the Inverse Function Theorem, in this order, both of them on a finite-dimensional Euclidean space, that employ only the Intermediate-Value Theorem and the Mean-Value Theorem. These proofs avoid compactness arguments, the contraction principle, and fixed-point theorems.
Citation
Oswaldo de Oliveira. "The Implicit and Inverse Function Theorems: Easy Proofs." Real Anal. Exchange 39 (1) 207 - 218, 2013/2014.
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