Year: 2025
Type: article
Abstract: The measurement of the distance between two points is always tainted by errors. The causes of such errors are varied. For instance, the imperfection in the adjustment of instruments affects the accuracy of measurements. These errors are generally "small", however their accumulations can become significant. Motivated by this fact, in this paper, we introduce the notion of perturbed metric spaces and establish an interesting generalization of Banach's fixed point theorem in such spaces.
DOI: 10.11948/20240242
Authors: Mohamed Jleli, Bessem Samet
Institution: King Saud University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4411533727