Work

Equivalent contraction principles in metric spaces

Year: 2026

Type: article

Abstract: The aim of the present note is to show that three distinguished extensions of the Banach fixed point theorem are actually equivalent statements. The key tool of the proofs is to redefine properly the metric of the underlying space. We prove the same result also in ultrametric spaces.

Source: Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas

DOI: 10.1007/s13398-026-01940-3

Author: Mihály Bessenyei

Institution: University of Miskolc

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,390

OpenAlex ID: W7221307119