Volume 58 | Number 2 | Year 2018 | Article Id. IJMTT-V58P517 | DOI : https://doi.org/10.14445/22315373/IJMTT-V58P517
The object of this paper we use the concept of occasionally weak-compatible mapping and prove a common fixed point theorem in Intuitionistic Fuzzy Metric space.
[1] Alaca, C. , Turkoglu, D. and Yildiz, C. : Fixed points in intuitionistic fuzzy metric spaces ,Smallerit Choas, Solitons & Fractals, c 29(5)(2006), 1073-1078.
[2] Al-Thagafi, M. A. and Shahzad, N.: Generalized I-nonexpansive selfmaps and invariant Approximations, Acta. Math. Sinica, 24(5)(2008), 867-876.
[3] Atanassov, K. : Intuitionistic Fuzzy sets, Fuzzy sets and system, 20(1986) 87- 96.
[4] George, A. and Veeramani, P. : On some result in fuzzy metric space, Fuzzy Sets Systems 64 (1994), 395-399.
[5] Jungck ,G. : Commuting mappings and fixed points, Amer. Math. Monthly, 83(1976), 261- 263.
[6] Jungck, G. : Compatible mappings and common fixed points, Internat. J. Math. Sci. 9(1986), 771-779.
[7] Kramosil, I. and Michalek, J.: Fuzzy metric and Statistical metric spaces, Kybernetica, 11 (1975) 326-334.
[8] Pant, B. D. and Chouhan, S. : fixed point theorem for occasionally weakly compatible mapping in Menger Space, Mathematiqki Vesnikcs (Accepted for Publication).
[9] Pant R.P., ”Common fixed points of four mappings”, Bull. Cal. Math.Soc. 90, (1998),281-286.
[10] Pant R.P.,”Common fixed point theorems for contractive maps”, J. Math. Anal. Appl.226 (1998), 251-258.
[11] Pant R. P.,Jha K.,”A remark on common fixed points of four mappings in a fuzzy metric space”, J. Fuzzy Math. 12(2) (2004), 433-437.
[12] J Park, H. : Intuitionistic fuzzy metric spaces, chaos, Solitions & Fractals 22(2004), 1039- 1046.
[13] Park, J. S. and S. Kim, S. Y. : Common fixed point and example in intuitionistic fuzzy metric space, J. K. I. I. S. 18(2008), NO. 4, 524-529.
[14] Turkoglu,D. , Alaca, C., Cho, Y.J. and Yildiz, C. : Common fixed point theorems in intuitionistic fuzzy metric spaces, J. Appl. Math. & Computing, 22(2006),411-424.
[15] Turkoglu, D., Alaca,C. and Yildiz, C, : Compatible maps and compatible maps of types (α) and (β) in intuitionistic fuzzy metric spaces, Demonstratio Math. 39(2006), 671-684.
[16] Zadeh, L. A.: Fuzzy sets, Inform. and Control 8(1965), 338-353.
Rajesh Shrivastava, Arihant Jain, Amit Kumar Gupta, "Occasionally Weak Compatible Mappings and Common Fixed Point Theorem in Intuitinistic Fuzzy Metric Space," International Journal of Mathematics Trends and Technology (IJMTT), vol. 58, no. 2, pp. 120-126, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V58P517