ON BANACH'S FIXED POINT THEOREM IN PERTURBED METRIC SPACES

Mohamed Jleli; Bessem Samet

doi:10.11948/20240242

2025 Volume 15 Issue 2

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Mohamed Jleli, Bessem Samet. ON BANACH'S FIXED POINT THEOREM IN PERTURBED METRIC SPACES[J]. Journal of Applied Analysis & Computation, 2025, 15(2): 993-1001. doi: 10.11948/20240242

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Mohamed Jleli, Bessem Samet. ON BANACH'S FIXED POINT THEOREM IN PERTURBED METRIC SPACES[J]. Journal of Applied Analysis & Computation, 2025, 15(2): 993-1001. doi: 10.11948/20240242

ON BANACH'S FIXED POINT THEOREM IN PERTURBED METRIC SPACES

Mohamed Jleli^1,,
Bessem Samet^1, ,

1.
Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

Author Bio: Email: jleli@ksu.edu.sa(M. Jleli)
Corresponding author: Email: bsamet@ksu.edu.sa(B. Samet)
Fund Project: The authors were supported by Researchers Supporting Project Number (RSP2024R57), King Saud University, Riyadh, Saudi Arabia

Abstract

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.
- Perturbed metric space /
- perturbed mapping /
- exact metric /
- fixed point
MSC: 54E50, 47H09, 47H10

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References

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