Three alternative proofs of the Banach contraction principle

Authors

  • Atsumasa Kondo Shiga University

DOI:

https://doi.org/10.24917/20809751.16.7

Abstract

This study presents three alternative proofs of the Banach contraction principle (BCP). These proofs are derived from proofs of theorems that generalized the BCP, established in the existing studies. By simplifying the proofs of the generalized theorems, the alternative proofs of the BCP are obtained. The author thinks that studying the alternative proofs provided in this article helps students understand the general theorems easily.

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Published

2024-12-30

How to Cite

Kondo, A. (2024). Three alternative proofs of the Banach contraction principle. Annales Universitatis Paedagogicae Cracoviensis | Studia Ad Didacticam Mathematicae Pertinentia, 16, 35–41. https://doi.org/10.24917/20809751.16.7

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