Volume 25 • Issue 3 • PP: 60-69 • 2025
Fixed Point Theorems with its Applications in Fuzzy Complete Convex Fuzzy Metric Spaces
View PDF 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
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
Choose your preferred format