Common fixed point theorem in fuzzy metric space using control function
Commun. Korean Math. Soc. 2013 Vol. 28, No. 3, 517-526
https://doi.org/10.4134/CKMS.2013.28.3.517
Printed July 1, 2013
Amit Kumar and Ramesh Kumar Vats
National Institute of Technology, National Institute of Technology
Abstract : We give a fixed point theorem for complete fuzzy metric space which generalizes fuzzy Banach contraction theorems established by V. Gregori and A. Spena [Fuzzy Sets and Systems {\bf 125} (2002), 245--252] using notion of altering distance, initiated by Khan et al. [Bull. Austral. Math. Soc. {\bf 30} (1984), 1--9] in metric spaces.
Keywords : common fixed point, fuzzy contractive mapping, complete fuzzy metric space
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