Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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FIXED POINT OF α - ψ - CONTRACTIVE MULTIFUNCTION IN FUZZY METRIC SPACES

  • KUMAR, MOHIT (Department of Mathematics and Statistics, Gurukula Kangri Vishwavidyalaya Haridwar(UK)) ;
  • ARORA, RIITU (Department of Mathematics and Statistics, Gurukula Kangri Vishwavidyalaya Haridwar(UK))
  • Received : 2016.08.27
  • Accepted : 2017.01.30
  • Published : 2017.05.30
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Abstract

Recently Samet, Vetro and Vetro introduced the notion of ${\alpha}$-${\Psi}$-contractive type mappings and initiated some fixed point theorems in complete metric spaces. The notion of ${\alpha}_*$ - ${\Psi}$-contractive multifunctions and initiated some fixed point results by Hasanzade Asl et. al. [8]. In this paper, we introduced the notion of ${\alpha}_*$ - ${\Psi}$-contractive multifunctions in a fuzzy metric space and gave fixed point results for these multifunctions in complete fuzzy metric spaces. We also obtain a fixed point results for self-maps in complete fuzzy metric spaces satisfying contractive condition.

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References

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