On Common Fixed Point Theorems in Intuitionistic Fuzzy Metric Spaces

Rasik M.Patel; Ramakant Bhardwaj

doi:https://doi.org/10.14445/22315373/IJMTT-V65I12P501

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 12 | Year 2019 | Article Id. IJMTT-V65I12P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I12P501

On Common Fixed Point Theorems in Intuitionistic Fuzzy Metric Spaces

Rasik M.Patel, Ramakant Bhardwaj

Abstract

In this paper, we prove some common fixed point theorems for weakly compatible maps in Intuitionistic Fuzzy metric.

Keywords

Intuitionistic fuzzy metric space, weakly Compatible Mappings, Common fixed point.

References

[1] B Schweizer and A Sklar, Statistical metric spaces, Pacific J. Math., 10(1960), 314–334.
[2] C. Alaca, D. Turkoglu and C. Yildiz: Fixed points in intuitionistic fuzzy metric spaces, Chaos, Solitons & Fractals, 29(5) (2006), 1073–1078.
[3] Cho. and Jungck Minimization theorems for fixed point theorems in fuzzy metric spaces and applications, Fuzzy Sets and Systems 61 (1994) 199-207.
[4] D. Coker: An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and System, 88(1997), 81–89.
[5] D. Turkoglu, C. Alaca, Y. J. Cho and C. Yildiz: Common fixed point theorems in intuitionistic fuzzy metric spaces, J. Appl. Math. & Computing, 22(2006), 411–424.
[6]Dimri R.C. and Gariya N.S, Coincidences and common fixed points in intuitionistic fuzzy metric spaces, Indian J. Math.52 (3) (2010), 479-490.
[7] G. Jungck, Commuting mappings and fixed point, Amer. Math. Monthly 83 (1976), 261-263.
[8] G. Jungck and B.E.Rhoades, Fixed point theorems for occasionally weakly compatible mappings, Fixed point theory,7(2006),286-296.
[9] Grabiec M, Fixed points in fuzzy metric spaces, Fuzzy Sets and Systems, 27(1988), 385–389.
[10] H.Dubey and R.Jain, On common fixed point theorems in intuitionistic fuzzy metric spaces, European journal of Business and Management, vol.3, 4(2011), 267-277.
[11] Imdad M.and Ali J, Some common fixed point theorems in fuzzy metric spaces, Mathematical Communication, 11(2006), 153–163.
[12] J.S. Park, Y.C. Kwun, and J.H. Park: A fixed point theorem in the intuitionistic fuzzy metric spaces, Far East J. Math. Sci., 16(2005), 137–149.
[13] Jungck G. and Rhoades B.E, Fixed point for set valued functions without continuity, Indian J. Pure and Appl. Math., 29(3) (1998), 227-238.
[14] K. Atanassov: Intuitionistic fuzzy sets, Fuzzy Sets and System, 20(1986), 87-96.
[15] L.A. Zadeh, Fuzzy sets, Infor. and Control, 8 (1965), 338-353.
[16] Pant R.P, Common fixed points of non commuting mappings, J. Math. Anal. Appl., 188(1994), 436–440.
[17] Park J.H, Intuitionistic fuzzy metric spaces, Chaos, Solitons & Fractals,22(2004), 1039–1046.
[18] Saadati R. and Park J.H, On the intuitionistic fuzzy topological spaces, Chaos, Solitons & Fractals, 27(2006), 331–344.
[19] V. Gregori, S. Ramaguera and P. Veeramani: A note on intuitionistic fuzzy metric Spaces, Chaos, Solitons & Fractals, 28(2006), 902–905.

Citation :

Rasik M.Patel, Ramakant Bhardwaj, "On Common Fixed Point Theorems in Intuitionistic Fuzzy Metric Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 12, pp. 1-9, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I12P501