Year: 2025
Type: article
Abstract: Recently we obtained several extensions of the Banach contraction principle, which appears frequently in many literature.From our 2023 Metatheorem, we deduce Theorem H on the equivalent formulations of completeness of quasi-metric spaces.From Theorem H, we derive the Banach contraction principle, its extended form (Theorem Q), the Rus-Hicks-Rhoades contraction principle (Theorem P), and others.Consequently, our Theorem H contains well-known theorems of Banach, Covitz-Nadler, Oettli-Théra, Rus-Hicks-Rhoades, and some others.
Source: Results in Nonlinear Analysis
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4413118246