• 제목/요약/키워드: ${\alpha}_*$ - ${\Psi}$-contractive multifunction

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FIXED POINT OF α - ψ - CONTRACTIVE MULTIFUNCTION IN FUZZY METRIC SPACES

  • KUMAR, MOHIT;ARORA, RIITU
    • Journal of applied mathematics & informatics
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    • 제35권3_4호
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    • pp.323-330
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    • 2017
  • 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.