##### International Journal of Information Engineering and Electronic Business (IJIEEB)

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#### Common Fixed Point Theorem in Fuzzy Metric Spaces using weakly compatible maps

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##### Author(s)

1. School of Mathematics and Computer Applications, Thapar University, Patiala (Punjab)

* Corresponding author.

Received: 5 Dec. 2013 / Revised: 18 Jan. 2014 / Accepted: 25 Feb. 2014 / Published: 8 Apr. 2014

##### Index Terms

T-norm, Fuzzy metric space, weakly compatible mappings, Common fixed point theorem

##### Abstract

The aim of this paper is to prove a common fixed theorem for four mappings under weakly compatible condition in fuzzy metric space. While proving our results we utilize the idea of weakly compatible maps due to Jungck and Rhoades. Our results substantially generalize and improve a multitude of relevant common fixed point theorems of the existing literature in metric as well as fuzzy metric space.

##### Cite This Paper

Saurabh Manro, "Common Fixed Point Theorem in Fuzzy Metric Spaces using weakly compatible maps", International Journal of Information Engineering and Electronic Business(IJIEEB), vol.6, no.2, pp.64-69, 2014. DOI:10.5815/ijieeb.2014.02.08

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