International Journal of Neutrosophic Science

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Volume 25 , Issue 3 , PP: 60-69, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

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

Jaafer Hmood Eidi 1 * , Ehsan M. Hameed 2 , Jehad R. Kider 3

  • 1 Department of Mathematics College of Education Mustansiriyah University, Iraq - (drjaffarmath@uomustansiriyah.edu.iq)
  • 2 Department of Mathematics, College of Computer Science and Mathematics, University of Thi-Qar, Iraq - (ehsan.m@utq.edu.iq)
  • 3 Department of Applied Sciences, University of Technology, Iraq - (jehad.r.kider@uotechnology.edu.iq)
  • Doi: https://doi.org/10.54216/IJNS.250306

    Received: February 11, 2024 Revised: May 10, 2024 Accepted: September 15, 2024
    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.

     

    Cite This Article As :
    Hmood, Jaafer. , M., Ehsan. , R., Jehad. Fixed Point Theorems with its Applications in Fuzzy Complete Convex Fuzzy Metric Spaces. International Journal of Neutrosophic Science, vol. , no. , 2025, pp. 60-69. DOI: https://doi.org/10.54216/IJNS.250306
    Hmood, J. M., E. R., J. (2025). Fixed Point Theorems with its Applications in Fuzzy Complete Convex Fuzzy Metric Spaces. International Journal of Neutrosophic Science, (), 60-69. DOI: https://doi.org/10.54216/IJNS.250306
    Hmood, Jaafer. M., Ehsan. R., Jehad. Fixed Point Theorems with its Applications in Fuzzy Complete Convex Fuzzy Metric Spaces. International Journal of Neutrosophic Science , no. (2025): 60-69. DOI: https://doi.org/10.54216/IJNS.250306
    Hmood, J. , M., E. , R., J. (2025) . Fixed Point Theorems with its Applications in Fuzzy Complete Convex Fuzzy Metric Spaces. International Journal of Neutrosophic Science , () , 60-69 . DOI: https://doi.org/10.54216/IJNS.250306
    Hmood J. , M. E. , R. J. [2025]. Fixed Point Theorems with its Applications in Fuzzy Complete Convex Fuzzy Metric Spaces. International Journal of Neutrosophic Science. (): 60-69. DOI: https://doi.org/10.54216/IJNS.250306
    Hmood, J. M., E. R., J. "Fixed Point Theorems with its Applications in Fuzzy Complete Convex Fuzzy Metric Spaces," International Journal of Neutrosophic Science, vol. , no. , pp. 60-69, 2025. DOI: https://doi.org/10.54216/IJNS.250306