Some fixed point theorem uses intimate mappings to produce intuitionistic fuzzy metric space

Document Type : Research Paper

Author

Institute for Excellence in higher Education, Bhopal, India

Abstract

The aim of this research paper to use the concept of Intimate mappings to demonstrate the existence and uniqueness of common fixed point theorems for self-mappings in intuitionistic fuzzy metric space. The goal of this research work is to prove the existence and uniqueness of common fixed point theorems for selfmappings in intuitionistic fuzzy metric space using the notion of intimate mappings

Keywords

Main Subjects


[1] L. A. Zadeh , Fuzzy sets, Inform. Contro, 8 (1965), 338-353.
[2] I. Kramosil and J. Michalek, Fuzzy metrics and statistical metric spaces, Kybernet, 11 (1975) 336-344.
[3] M. Grabiec, Fixed points in fuzzy metric space, Fuzzy Sets Syst., 27(3)(1988), 385-389.
[4] G.Veeramani, P. On some results in fuzzy metric spaces, Fuzzy Sets Syst., 64(3)(1994),395-399.
[5] S. N. Mishra, N. Sharma and S. L. Singh, Common  fixed points of maps on fuzzy metric spaces, International Journal of Mathematics and Mathematical Sciences, 17(2)(1994), 253-258.
[6] S. Hoon cho,On Common  fixed points in fuzzy metric spaces, International Mathematical Forum, 1(2006), 471-479.
[7] B. Schweizer and A. Sklar, Statistical metric spaces, Pacific Journal of Mathematics, 10(1960), 314-334.
[8] E.P. Klement, R. Mesier and E. Pap, Triangular norms, Kluwer Academic Publisher Dordrecht, Trends in Logic, 8(2000).
[9] G. Jungck, P. P. Murthy and Y. J. Cho, Compatible mappings of type (A) and common  fixed points, Mathematica Japonica ,36 (1993), 381-390.
[10] Y.J. Cho, Fixed points in fuzzy metric spaces, Journal of Fuzzy Mathematics, 5(4)(1997), 949- 962..
[11] M. R. Singh, Y. Mahindra singh and L. Shambhu singh, Fixed points of biased maps of Some  fixed point results in fuzzy metric space using intimate mappings type (RM) on fuzzy metric space, International Journal of Contemporary Mathematical Sciences, 4(16)(2009), 757 - 768.
[12] D.R. Sahu, V.B. Dhagat and M. Srivastava,  fixed points with intimate mappings (I), Bulletin of Calcutta Mathematical Society, 93(2001), 107-114.
[13] R. Chugh and M. Aggarwal, Fixed points of intimate mappings in uniform spaces, International Journal of Mathematical Analysis, 6(9)(2012), 429-436.
[14] G. Meena, Common  xed points for intimate mappings in complei valued metric Spaces, General Mathematics Notes, 26(2)(2015),97-103.
[15] P. kumar, S. kumar and S. Min Kang, Common  fixed for intimate mappings in multiplicative metric spaces, International Journal of Pure and Applied Mathematics, 104(4)(2015), 709-718.
[16] M. Aamri and D. EI. Moutawakil, Some new fixed point theorems under strict contractive conditions, Journal of Mathematical Analysis and Applications, 270(1)(2002), 181-188.
[17] Y. Liu, Jun wu and Z. Li, Common  fixed points of single-valued and multivalued maps, International Journal of Mathematics and Mathematical sciences, 19(2005), 3045-3055.