Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2013; 28(3): 517-526

Printed July 1, 2013

https://doi.org/10.4134/CKMS.2013.28.3.517

Copyright © The Korean Mathematical Society.

Common fixed point theorem in fuzzy metric space using control function

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