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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 37 | Number 3 | Year 2016 | Article Id. IJMTT-V37P525 | DOI : https://doi.org/10.14445/22315373/IJMTT-V37P525

Fixed Point Theorem for six self mappings on a Fuzzy Metric Space using JCLR property


I.H.Nagaraja Rao, S.Rajesh
Abstract

In this paper, we prove a unique common fixed point theorem for six self mappings on a fuzzy metric space using mainly weakly compatible and JCLR properties. This result extends a result of Chauhan et. al. Examples are provided in support of the results.

Keywords
Fuzzy metric space, common fixed point, weakly compatible mappings, JCLR property.
References

[1] L.A.Zadeh, Fuzzy sets, Inform and Control, 8(1965), 338- 353.
[2] O.Kramosil and J.Michalek, Fuzzy metric and statistical metric spaces, Kybernetica, 11(1975), 336-344.
[3] A. George and P. Veeramani, On some result in Fuzzy metric space, Fuzzy Sets and Systems, Vol. 64, No. 3, (1994), 395-399.
[4] Sinturavarant and Kumam, Common fixed point theorems for a pair of weakly compatible mappings in fuzzy metric spaces, Journal of Applied Mathematics, Article ID 637958 (2011).
[5] Sunny Chauhan, Wutiphol Sintunavarat and Poom Kumam, Common fixed point theorems for weakly compatible mappings in fuzzy metric space using (JCLR) property, Applied Mathematics, 3(2012), 976-982.

Citation :

I.H.Nagaraja Rao, S.Rajesh, "Fixed Point Theorem for six self mappings on a Fuzzy Metric Space using JCLR property," International Journal of Mathematics Trends and Technology (IJMTT), vol. 37, no. 3, pp. 186-189, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V37P525

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