Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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FIXED POINT THEOREMS FOR WEAK CONTRACTION IN INTUITIONISTIC FUZZY METRIC SPACE

  • Vats, Ramesh Kumar (Department of Mathematics, National Institute of Technology) ;
  • Grewal, Manju (Department of Mathematics, National Institute of Technology)
  • Received : 2015.10.22
  • Accepted : 2016.04.11
  • Published : 2016.06.25
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Abstract

The notion of weak contraction in intuitionistic fuzzy metric space is well known and its study is well entrenched in the literature. This paper introduces the notion of (${\psi},{\alpha},{\beta}$)-weak contraction in intuitionistic fuzzy metric space. In this contrast, we prove certain coincidence point results in partially ordered intuitionistic fuzzy metric spaces for functions which satisfy a certain inequality involving three control functions. In the course of investigation, we found that by imposing some additional conditions on the mappings, coincidence point turns out to be a fixed point. Moreover, we establish a theorem as an application of our results.

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References

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