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On Some Fixed Point Results in E−Fuzzy Metric Spaces

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Listed:
  • Rachid Mecheraoui
  • Zoran D. Mitrović
  • Vahid Parvaneh
  • Hassen Aydi
  • Naeem Saleem
  • Ali Jaballah

Abstract

In the existing literature, Banach contraction theorem as well as Meir-Keeler fixed point theorem were extended to fuzzy metric spaces. However, the existing extensions require strong additional assumptions. The purpose of this paper is to determine a class of fuzzy metric spaces in which both theorems remain true without the need of any additional condition. We demonstrate the wide validity of the new class.

Suggested Citation

  • Rachid Mecheraoui & Zoran D. Mitrović & Vahid Parvaneh & Hassen Aydi & Naeem Saleem & Ali Jaballah, 2021. "On Some Fixed Point Results in E−Fuzzy Metric Spaces," Journal of Mathematics, Hindawi, vol. 2021, pages 1-6, September.
    • Handle: RePEc:hin:jjmath:9196642
    DOI: 10.1155/2021/9196642
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