Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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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)
  • Received : 2012.07.10
  • Published : 2013.07.31
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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.

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References

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