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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science
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Volume 25 • Issue 3 • PP: 60-69 • 2025

Fixed Point Theorems with its Applications in Fuzzy Complete Convex Fuzzy Metric Spaces

Jaafer Hmood Eidi 1*
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Ehsan M. Hameed 2
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,
Jehad R. Kider 3
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1Department of Mathematics College of Education Mustansiriyah University, Iraq
2Department of Mathematics, College of Computer Science and Mathematics, University of Thi-Qar, Iraq
3Department of Applied Sciences, University of Technology, Iraq
* Corresponding Author.
DOI https://doi.org/10.54216/IJNS.250306
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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: February 11, 2024 Revised: May 10, 2024 Accepted: September 15, 2024
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Abstract

In this paper, the basic properties of the convex fuzzy metric space will be presented. In particular, the proof of the fixed-point theorem for the fuzzy contraction single valued functions will be discussed. Furthermore, the solution system of linear equations, Volterra equations and Fredholm integral equations will be obtained as a direct application of the fixed-point theorem.

Keywords

Convex fuzzy metric space Fuzzy contraction function Fuzzy absolute value space Fuzzy Lipschitz condition

References

[1] M. A. Ahmed, Fixed point Theorems in fuzzy metric spaces, Journal of the Egyptian Mathematical Society, 22, 59-62, 2014.

[2] https://www.sciencedirect.com/science/article/pii/S1110256X13000588.

[3] C. T. Aage and J. N. Salunke, On Fixed point Theorem in Fuzzy metric spaces, int. J. open problems Computer Math.,VoL.3, No.2, June, 2010,123-131. http://www.ijopcm.org/Vol/10/IJOPCM(vol.3.2.2.J.10).pdf.

[4] Valentin Gregori, Almanzor Sapena, On Fixed point Theorems in Fuzzy metric spaces, VoL125, Issue 2, 16, Janaruy, 2002, 145-2520

[5] https://www.sciencedirect.com/science/article/abs/pii/S0165011400000889.

[6] D. Gopal and C. Vetro, Some New Fixed Point Theorems in Fuzzy Metric Spaces, Iranian Journal of Fuzzy Systems Vol. 11, No. 3, (2014) pp. 95-107 https://ijfs.usb.ac.ir/article_1572_740863f7048bb3b06e2248e1d0f2984e.pdf. [7] Eidi, Jaafer Hmood , Hameed, Ehsan Mejeed & Kider, Jehad R. Convex fuzzy distance between two convex fuzzy compact set, Journal of Interdisciplinary Mathematics, 27:4, 953–963, {2024) DOI: 10.47974/JIM-1916.

[8] Jehad R. Kider, The Convex Fuzzy Metric Space, AIP Conf. Proc. 3097, 080016 (2024). https://doi.org/10.1063/5.0209483.

 

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Eidi, Jaafer Hmood, Hameed, Ehsan M., Kider, Jehad R.. "Fixed Point Theorems with its Applications in Fuzzy Complete Convex Fuzzy Metric Spaces." International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 3, 2025, pp. 60-69. DOI: https://doi.org/10.54216/IJNS.250306
Eidi, J., Hameed, E., Kider, J. (2025). Fixed Point Theorems with its Applications in Fuzzy Complete Convex Fuzzy Metric Spaces. International Journal of Neutrosophic Science, Volume 25(Issue 3), 60-69. DOI: https://doi.org/10.54216/IJNS.250306
Eidi, Jaafer Hmood, Hameed, Ehsan M., Kider, Jehad R.. "Fixed Point Theorems with its Applications in Fuzzy Complete Convex Fuzzy Metric Spaces." International Journal of Neutrosophic Science Volume 25, no. Issue 3 (2025): 60-69. DOI: https://doi.org/10.54216/IJNS.250306
Eidi, J., Hameed, E., Kider, J. (2025) 'Fixed Point Theorems with its Applications in Fuzzy Complete Convex Fuzzy Metric Spaces', International Journal of Neutrosophic Science, Volume 25(Issue 3), pp. 60-69. DOI: https://doi.org/10.54216/IJNS.250306
Eidi J, Hameed E, Kider J. Fixed Point Theorems with its Applications in Fuzzy Complete Convex Fuzzy Metric Spaces. International Journal of Neutrosophic Science. 2025;Volume 25(Issue 3):60-69. DOI: https://doi.org/10.54216/IJNS.250306
J. Eidi, E. Hameed, J. Kider, "Fixed Point Theorems with its Applications in Fuzzy Complete Convex Fuzzy Metric Spaces," International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 3, pp. 60-69, 2025. DOI: https://doi.org/10.54216/IJNS.250306
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