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

Mohammadi B., Hussain A., Parvaneh V., Saleem N., Shahkoohi R. J.

Journal of Mathematics, cilt.2021, 2021 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2021
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1155/2021/9931066
  • Dergi Adı: Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Uşak Üniversitesi Adresli: Hayır

Özet

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.