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.
Authors
- Atsumasa Kondo (ORCID: https://orcid.org/0000-0003-1397-1933)
Institutions
- Shiga University (JP)
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
- Field-Weighted Citation Impact
- 0.00