Common Fixed Point Theorems using Common E.A. Like Property in Fuzzy Metric Space

Kamal Wadhwa; Sanjay Choudhari; Prachi Bohare

doi:https://doi.org/10.14445/22315373/IJMTT-V65I9P503

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 9 | Year 2019 | Article Id. IJMTT-V65I9P503 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I9P503

Common Fixed Point Theorems using Common E.A. Like Property in Fuzzy Metric Space

Kamal Wadhwa, Sanjay Choudhari, Prachi Bohare

Abstract

In the present paper, we prove common fixed point theorems in fuzzy metric spaces using common E.A. like property with weakly compatible mappings. Our results improve the results of [2].

Keywords

Fuzzy metric space, common E.A. like property, weakly compatible mappings.

References

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[2] A. Hassan and A.A. Alla, An Application of Fixed Point Theorems in Fuzzy Metric Space, Journal of Mathematics Research; Vol. 11, No. 1; February 2019.
[3] I. Kramosil and J. Michalek., Fuzzy metric and statistical metric spaces, Ky-bernetika, 11(1975), 336-344.
[4] S.N. Mishra, N. Sharma and S.L. Singh S.L, Common fixed points of maps on fuzzy metric spaces, Internat. J. Math. Math. Sci., 17 (2) (1994), 253-258.
[5] B. Schweizer, and A. Sklar, Statistical metric spaces, Pacific J. Math., 10 (1960), 313-334.
[6] K. Wadhwa, H. Dubey and R. Jain, Impact of E.A. like property on common fixed point theorems in fuzzy metric spaces, Journal of Advanced Studies in Topology, Vol. 3, No.1(2012), 52-59.
[7] L.A. Zadeh, Fuzzy sets, Infor. and Control, 8(1965), 338-353.

Citation :

Kamal Wadhwa, Sanjay Choudhari, Prachi Bohare, "Common Fixed Point Theorems using Common E.A. Like Property in Fuzzy Metric Space," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 9, pp. 14-17, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I9P503