Year: 2024
Type: article
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.
Author: Atsumasa Kondo
Institution: Shiga University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4410860463