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Fixed Point Results for Generalized Fuzzy Contractive Mappings in Fuzzy Metric Spaces with Application in Integral Equations

Author

Listed:
  • Babak Mohammadi
  • Azhar Hussain
  • Vahid Parvaneh
  • Naeem Saleem
  • Rogheieh Jalal Shahkoohi
  • Ljubisa Kocinac

Abstract

In this paper, we introduce generalized α-η-fuzzy contractive mappings and generalized β-ζ-fuzzy contractive mappings and prove existence of fixed point for such mappings. Our results generalize and improve the recent work of Gopal and Vetro (Iranian journal of fuzzy systems, 11 (2014), 95–107). Some equivalent conditions of our results are presented. Also, an example is given to support our new results.

Suggested Citation

  • Babak Mohammadi & Azhar Hussain & Vahid Parvaneh & Naeem Saleem & Rogheieh Jalal Shahkoohi & Ljubisa Kocinac, 2021. "Fixed Point Results for Generalized Fuzzy Contractive Mappings in Fuzzy Metric Spaces with Application in Integral Equations," Journal of Mathematics, Hindawi, vol. 2021, pages 1-11, May.
    • Handle: RePEc:hin:jjmath:9931066
    DOI: 10.1155/2021/9931066
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