Three alternative proofs of the Banach contraction principle

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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Publication Details

Journal
Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia
Published
2024-12-30
DOI
https://doi.org/10.24917/20809751.16.7
Primary Topic
Advanced Operator Algebra Research
Type
article
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article

Three alternative proofs of the Banach contraction principle

Atsumasa Kondo
Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia
Advanced Operator Algebra Research
article

Three alternative proofs of the Banach contraction principle

Atsumasa Kondo
article en

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.

Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae PertinentiaVol. 16
Shiga University (JP)
Openalex Percentile: Top 57%
Advanced Operator Algebra Research
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