## Tbilisi Mathematical Journal

### Fuzzy version of Meir-Keeler type contractive condition and existence of fixed point

#### Abstract

In this article, we prove a general common fixed point theorem for two pairs of weakly compatible self-mappings of a fuzzy metric space satisfying a generalized Meir-Keeler type contractive condition. Our results substantially extend, generalize, improve and fuzzify multitude of well known results of the form existing in literature in metric as well as fuzzy metric spaces.

#### Article information

Source
Tbilisi Math. J., Volume 7, Issue 1 (2014), 75-85.

Dates
Accepted: 15 July 2014
First available in Project Euclid: 12 June 2018

https://projecteuclid.org/euclid.tbilisi/1528768954

Digital Object Identifier
doi:10.2478/tmj-2014-0008

Mathematical Reviews number (MathSciNet)
MR3313047

Zentralblatt MATH identifier
1304.54087

#### Citation

Manro, Saurabh; Kumar, Sanjay; Bhatia, S. S. Fuzzy version of Meir-Keeler type contractive condition and existence of fixed point. Tbilisi Math. J. 7 (2014), no. 1, 75--85. doi:10.2478/tmj-2014-0008. https://projecteuclid.org/euclid.tbilisi/1528768954

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