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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 68 | Issue 8 | Year 2022 | Article Id. IJMTT-V68I8P512 | DOI : https://doi.org/10.14445/22315373/IJMTT-V68I8P512

Fixed Point Theorems for z-Contractions in Intuitionistic Fuzzy Metric Space using Fuzzy Simulation Function


Deepika, Manoj Kumar
Received Revised Accepted Published
06 Jul 2022 08 Aug 2022 20 Aug 2022 29 Aug 2022
Abstract

In this paper, we establish fixed point theorem for five tuples using the concept of simulation function, z-contraction and fuzzy simulation function in intuitionistic fuzzy metric space.

Keywords
Intuitionistic fuzzy metric space, z-contraction, Simulation function, Fuzzy simulation function.
References

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[12] B. Schweizer, and A. Sklar, “Statistical Metric Spaces”, Pacific. J. Math., vol. 10, pp. 313-334, 1960.
[13] B. Singh, S. Jain, “Weak Compatibility and Fixed Point Theorems in Fuzzy Metric Spaces”, Ganita, vol. 56, no. 2, pp. 167-176, 2005.
[14] W. Sintunavarat, P. Kuman, “Common Fixed Point Theorems for a Pair of Weakly Compatible Mappings in Fuzzy Metric Spaces”, Journal of Applied Mathematics, 2011, Article ID 637958, 14 pages, 2011.
[15] L. A. Zadeh, “Fuzzy Sets”, Inform. Control, vol. 8, pp. 338-345, 1965.
[16] M. S. Khan, “Fixed Point Theorem by Altering Distance Between the Points”, Bulletin of the Australian Mathematical Society, vol. 30, pp. 1-9, 1984.

Citation :

Deepika, Manoj Kumar, "Fixed Point Theorems for z-Contractions in Intuitionistic Fuzzy Metric Space using Fuzzy Simulation Function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 68, no. 8, pp. 129-135, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I8P512

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