COMMON FIXED POINT THEOREMS IN RELATIVELY INTUITIONISTIC FUZZY METRIC SPACES

Abstract

Fixed points theorem in relatively two intuitionistic fuzzy metric
spaces is obtained by generalizing a theorem of [6] in fuzzy metric space.

Keywords

• intuitionistic fuzzy metric space,common fixed point,Cauchy sequence.

References

1. C. Alaca, D. Turkoglu and C. Yildiz, Fixed points in intuitionistic fuzzy metric spaces,
2. Smallerit Choas, Solitons & Fractals, 29(5)(2006), 1073-1078.
3. C. Alaca, I. Altun and D. Turkoglu, On Compatible Mappings of Type (I) and (II) in Intuitionistic
4. Fuzzy Met-ric Spaces, Communications of the Korean Mathemati-cal Society, Vol.
5. , No. 3, 2008, pp. 427-446.
6. K. Atanassov, Intuitionistic Fuzzy sets, Fuzzy sets and system, 20(1986) 87-96.
7. A. George, P. Veeramani, On some result in fuzzy metric space , Fuzzy Sets Syst., 64 (1994),
8. -399.

9. M. Grabiec, Fixed points in fuzzy metric spaces , Fuzzy Sets Syst., 27 (1988), 385-389.
10. T. Hamaizia, A. Aliouche, Fixed points theorems on two complete fuzzy metric spaces, Acta
11. Universitatis Apulensis, No. 40/2014, pp. 113-122.
12. I. Kramosil, J. Michalek, Fuzzy metric and statistical metric spaces , Kybernetica., 11 (1975),
13. -334.
14. J. H. Park, Intuitionistic fuzzy metric spaces, chaos, Solitions & Fractals 22(2004), 1039-
15. L. J. Rodriguez, S. Ramaguera, The Hausdor fuzzy metric on compact sets , Fuzzy Sets Sys.,
16. (2004), 273-283.
17. B. Schweizer, A. Sklar, Statistical metric spaces , Pacific J. Math. 10 (1960), 313-334.
18. M. Telci, Fixed points on two complete and compact metric spaces , Applied Mathematics
19. and Mechanics., 22 (5) (2001), 564-568..
20. L. A. Zadeh, Fuzzy sets , Inform and Control., 8 (1965), 338-353.