THE IMPLICIT AND THE INVERSE FUNCTION THEOREMS: EASY PROOFS

@article{Oliveira2012THEIA,
  title={THE IMPLICIT AND THE INVERSE FUNCTION THEOREMS: EASY PROOFS},
  author={Oswaldo Rio Branco de Oliveira},
  journal={Real analysis exchange},
  year={2012},
  volume={39},
  pages={207-218}
}
  • O. Oliveira
  • Published 10 December 2012
  • Mathematics
  • Real analysis exchange
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. Mathematics Subject Classification: 26B10, 26B12, 97I40, 97I60 
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