Interpolative best proximity point results via γ contraction with applications

SANGURLU SEZEN M.

AIMS Mathematics, cilt.10, sa.1, ss.1350-1366, 2025 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 1
  • Basım Tarihi: 2025
  • Doi Numarası: 10.3934/math.2025062
  • Dergi Adı: AIMS Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
  • Sayfa Sayıları: ss.1350-1366
  • Anahtar Kelimeler: fuzzy metric space, interpolative proximal fuzzy contraction, ordered fuzzy metric space
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we introduce a ρ interpolative Kannan and Ćirić Reich Rus type fuzzy proximal contraction using a Ύ contraction. We prove some best proximity theorems of this new approximation using the concept of ρ proximal admissibility in complete fuzzy metric spaces. We generalize some previous studies and present fixed point results of the best proximity theorems in complete fuzzy metric spaces. Also, we extend some best proximity results to the partially ordered fuzzy metric spaces.