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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 4 | Issue 9 | Year 2013 | Article Id. IJMTT-V4I9P4 | DOI : https://doi.org/10.14445/22315373/IJMTT-V4I9P4

A Related Fixed Point Theorem of Integral Type on Two Complete Fuzzy Metric Spaces


Pheiroijam Suranjoy Singh
Abstract

A related fixed point theorem for two pairs of mappings on two complete fuzzy metric spaces satisfying integral type inequalities is obtained. The result extends a result of R.K. Namdeo, N.K. Tiwari, B. Fisher and K. Tas [7].

Keywords
Fuzzy metric space, fixed point, related fixed point, integral type inequality
References

[1] Aliouche A. and Fisher B., A related fixed point theorem for two pairs of mappings on two complete metric spaces, Hace- ttepe Journal of Mathematics and Statistics, Vol. 34, (2005), 39 - 45.
[2] Cho Y.J., Kang S.M.and Kim S.S., Fixed points in two metric spaces, Novi Sad Journal Math., 29 (1), (1999), 47- 53.
[3] Fisher B. and Rao K.P.R, A related fixed point theorem on three metric space, Hacettepe Journal of Mathematics and Statistics, Vol. 36 (2), (2007), 143 - 146.
[4] George A. and Veeramani P., On some results in fuzzy metric space, Fuzzy Set and Systems, Vol. 64 (1994) 395-399.
[5] Jain S. and Fisher B., A related fixed point theorem for three metric spaces, Hacettepe Journal of Mathematics and Statistics Vol. 31, (2002), 19 - 24.
[6] Kramosil O. and Michalek J., Fuzz metric and statistical metric spaces, Kybernetica Vol. 11 (1975) 326 - 334.
[7] R.K. Namdeo, N.K. Tiwari, B. Fisher and K. Tas, Related fixed point theorems on two complete and compact metric spaces spaces, Internat. J. Math. and Math. Sci. ,Vol. 21, No. 3, (1998) , 559 – 564.
[8] Zadeh L.A., Fuzzy sets, Information and control, 8 (1965), 338 - 353.

Citation :

Pheiroijam Suranjoy Singh, "A Related Fixed Point Theorem of Integral Type on Two Complete Fuzzy Metric Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 4, no. 9, pp. 174-180, 2013. Crossref, https://doi.org/10.14445/22315373/IJMTT-V4I9P4

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