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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science
Full Length Article

Volume 25Issue 4PP: 399-407 • 2025

Fixed Points Results in Algebra Fuzzy Metric Space with an Application to Integral Equations

Raghad I. Sabri 1* ,
Jaafer Hmood Eidi 2 ,
Hussein S. ALallak 3
1Branch of Mathematics and Computer Applications, Department of Applied Sciences, University of Technology, Baghdad, Iraq
2Department of Mathematics College of Education Mustansiriyah University, Iraq
3General Directorate of Curricula. Moe. Iraq
* Corresponding Author.
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© 2025 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: November 12, 2024 Revised: December 18, 2024 Accepted: January 21, 2025

Abstract

This paper introduces a new class of mappings termed (α̂,β̂)−Ω-contraction mapping (briefly, "(α̂,β̂)−Ω−CMap") and establishes certain fixed-point (FP) results in the framework of Algebra fuzzy metric space. Additionally, we expanded our results to include the existence of a nonlinear integral equation solution. Results from this study improve, expand and generalization certain previously published results in the literature.

Keywords

Algebra Fuzzy Metric Space Fixed-point theorem Contraction mapping Cauchy sequence

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Sabri, Raghad I., Eidi, Jaafer Hmood, ALallak, Hussein S.. "Fixed Points Results in Algebra Fuzzy Metric Space with an Application to Integral Equations." International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 4, 2025, pp. 399-407. DOI: https://doi.org/10.54216/IJNS.250433
Sabri, R., Eidi, J., ALallak, H. (2025). Fixed Points Results in Algebra Fuzzy Metric Space with an Application to Integral Equations. International Journal of Neutrosophic Science, Volume 25(Issue 4), 399-407. DOI: https://doi.org/10.54216/IJNS.250433
Sabri, Raghad I., Eidi, Jaafer Hmood, ALallak, Hussein S.. "Fixed Points Results in Algebra Fuzzy Metric Space with an Application to Integral Equations." International Journal of Neutrosophic Science Volume 25, no. Issue 4 (2025): 399-407. DOI: https://doi.org/10.54216/IJNS.250433
Sabri, R., Eidi, J., ALallak, H. (2025) 'Fixed Points Results in Algebra Fuzzy Metric Space with an Application to Integral Equations', International Journal of Neutrosophic Science, Volume 25(Issue 4), pp. 399-407. DOI: https://doi.org/10.54216/IJNS.250433
Sabri R, Eidi J, ALallak H. Fixed Points Results in Algebra Fuzzy Metric Space with an Application to Integral Equations. International Journal of Neutrosophic Science. 2025;Volume 25(Issue 4):399-407. DOI: https://doi.org/10.54216/IJNS.250433
R. Sabri, J. Eidi, H. ALallak, "Fixed Points Results in Algebra Fuzzy Metric Space with an Application to Integral Equations," International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 4, pp. 399-407, 2025. DOI: https://doi.org/10.54216/IJNS.250433
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