On the ρ-Interpolative Ćirić–Reich–Rus-Type Fixed-Point Theorems

SANGURLU SEZEN M., Özcan S., Sen M. D. l., Etemad S., Alubady R.

Journal of Mathematics, cilt.2025, sa.1, 2025 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2025 Sayı: 1
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1155/jom/7326013
  • Dergi Adı: Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: fuzzy metric space (FMS), interpolative contraction, ordered fuzzy metric space, p-admissibility
  • Gazi Üniversitesi Adresli: Evet

Özet

In this study, we aim to introduce some new definitions called ρ-interpolative Ćirić–Reich–Rus-type and Kannan-type fuzzy contractions by using the concepts of ρ-admissibility (by Dinarvand (2017)) and ς-comparison function (by Mihet (2008)). We prove some fixed-point theorems for ρ-interpolative Ćirić–Reich–Rus-type and Kannan-type fuzzy contractions in M-complete fuzzy metric spaces. We presented some of the results established in fuzzy metric spaces to the partially ordered fuzzy metric spaces. Some examples support the results obtained in this manuscript. As an application, we present the existence of a solution to the entity uniqueness problems.