Common fixed point theorems on complete and weak G-complete fuzzy metric spaces

• Adhya, Sugata ^[2] ; Deb Ray, A. ^[1]
  1. [1] University of Calcutta

     University of Calcutta

     India

     
  2. [2] The Bhawanipur Education Society College
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 25, Nº. 1, 2024, págs. 17-34
• Idioma: inglés
• DOI: 10.4995/agt.2024.20590
• Enlaces
  • Texto completo
• Resumen

  • Motivated by Gopal and Vetro [Iranian Journal of Fuzzy Systems, 11(3), 95-107], we introduce a symmetric pair of β-admissible mappings and obtain common fixed point theorems for such a pair in complete and weak G-complete fuzzy metric spaces. In particular, we rectified, generalize and improve the common fixed point theorem obtained by Turkoglu and Sangurlu [Journal of Intelligent & Fuzzy Systems, 26(1), 137-142] for two fuzzy ψ-contractive mappings. We include non-trivial examples to exhibit the generality and demonstrate our results.

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