| Volume 15, Number 2, 2025, Pages - DOI：10.11948/JAAC-2024-0242 |
| On Banach |
| Mohamed Jleli,Bessem Samet |
| Keywords:Perturbed metric space, Perturbed mapping, Exact metric, Fixed point. |
| 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. |
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