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http://dx.doi.org/10.4134/CKMS.2013.28.3.517

COMMON FIXED POINT THEOREM IN FUZZY METRIC SPACE USING CONTROL FUNCTION  

Kumar, Amit (Department of Mathematics National Institute of Technology)
Vats, Ramesh Kumar (Department of Mathematics National Institute of Technology)
Publication Information
Communications of the Korean Mathematical Society / v.28, no.3, 2013 , pp. 517-526 More about this Journal
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 125 (2002), 245-252] using notion of altering distance, initiated by Khan et al. [Bull. Austral. Math. Soc. 30 (1984), 1-9] in metric spaces.
Keywords
common fixed point; fuzzy contractive mapping; complete fuzzy metric space;
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