Volume 68 | Issue 8 | Year 2022 | Article Id. IJMTT-V68I8P512 | DOI : https://doi.org/10.14445/22315373/IJMTT-V68I8P512
Received | Revised | Accepted | Published |
---|---|---|---|
06 Jul 2022 | 08 Aug 2022 | 20 Aug 2022 | 29 Aug 2022 |
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.
[1] C. Alaca, D. Turkoglu, and C.Yildiz, “Fixed Points in Intuionistic Fuzzy Metric Spaces”, Chaos Solitons and Fractals, vol. 29, pp. 1073-1078, 2006.
[2] K. Atanassov, “Intuitionistic Fuzzy sets, Fuzzy Sets and System”, vol. 20, pp. 87-96, 1986.
[3] B. Schweizer, and A. Sklar, “Statistical Metric Spaces”, Pacific. J. Math., vol. 10, pp. 313-334, 1960.
[4] L. A. Zadeh, “Fuzzy sets”, Inform. Control, vol. 8, pp. 338-345, 1965.
[5] C. Alaca, I. Altun, and D. Turkoglu, “On Compatible Mappings of Type (I) and (II) in Intuionistic Fuzzy Metric Spaces”, Communications of the Korean Mathematical Society, vol. 23, pp. 427-446, 2008.
[6] A. Branciari, “A Fixed Point Theorem for Mappings Satisfying a General Contractive Condition of Integral Type”, International Journal of Mathematics and Mathematical Sciences, vol. 29, pp. 531-536, 2002.
[7] B. Singh, S. Jain, “Weak Compatibility and Fixed Point Theorems in Fuzzy Metric Spaces”, Ganita, vol. 56, no. 2, pp. 167-176, 2005.
[8] 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.
[9] A. George, and P. Veeramani, “On Some Results in Fuzzy Metric Spaces”, Fuzzy Sets and Systems, vol. 64, pp. 395-399, 1994.
[10] M. Grabiec, “Fixed Point in Fuzzy Metric Spaces, Fuzzy Sets and Systems”, vol. 27, pp. 385-389, 1988.
[11] S. N. Mishra, N. Sharma, and S. L. Singh, “Common Fixed Points of Maps in Fuzzy Metric Spaces”, Internat. J. Math. Math. Sci., vol. 17, pp. 253-258.
[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.
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