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

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

FIXED POINT THEORY AND ALGORITHMS FOR SCIENCES AND ENGINEERING, cilt.2025, sa.1, 2025 (ESCI)

• 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: Emerging Sources Citation Index (ESCI)
• 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 Ciric-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.