Best proximity point theorems for interpolative Kannan-type and Ćirić–Reich–Rus-type L-proximal contractions

SANGURLU SEZEN M., Duran Türkoğlu A., Saleh H. N.

Fixed Point Theory and Algorithms for Sciences and Engineering, cilt.2025, sa.1, 2025 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2025 Sayı: 1
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1186/s13663-025-00793-6
  • Dergi Adı: Fixed Point Theory and Algorithms for Sciences and Engineering
  • Derginin Tarandığı İndeksler: Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Anahtar Kelimeler: Best proximity point, Fixed point, Fuzzy metric, Interpolative contraction
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we introduce several different types of interpolative proximal contractions in complete fuzzy metric spaces. We establish some best proximity point results for Kannan-type and Ćirić–Reich–Rus-type L-proximal contractions in complete fuzzy metric spaces. The obtained results can be applied to the solution of entity uniqueness problems, which arise in many fields, especially in the applied field. As an application, we present the existence of solutions of entity uniqueness problems.