Fixed points which belong to the set of unit values of a suitable function on fuzzy metric spaces

• Saleh, Hayel N. ^[1] ; Imdad, Mohammad ^[1] ; Sintunavarat, Wutiphol ^[2]
  1. [1] Aligarh Muslim University

     Aligarh Muslim University

     India

     
  2. [2] Thammasat University

     Thammasat University

     Tailandia

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 24, Nº. 1, 2023, págs. 9-24
• Idioma: inglés
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• Resumen

  • In this paper, we introduce the notion of fuzzy (F, φ,β-ψ)-contractive mappings in fuzzy metric spaces and utilize the same to prove some existence and uniqueness fuzzy φ-fixed point results in both M-complete and G-complete fuzzy metric spaces. The obtained results extend, generalize and improve some relevant results of the existing literature. An illustrative example is utilized to demonstrate the usefulness and effectiveness of our results.