On the Fixed Point Results for the Suzuki-Type Multivalued δ-Contractions

SANGURLU SEZEN M., TÜRKOĞLU A. D., Özcan S., Etemad S., Hussain A., Alubady R.

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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2025 Sayı: 1
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1155/jofs/5321847
  • Dergi Adı: Journal of Function Spaces
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Agricultural & Environmental Science Database, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Anahtar Kelimeler: fixed point, fuzzy metric, Suzuki-type multivalued δ-contraction
  • Gazi Üniversitesi Adresli: Evet

Özet

In this study, we prove the existence of a fixed point for a Suzuki-type δ-contraction, which is a generalization of the δ-contraction and weak δ-contraction mappings. We prove a fixed point theorem for multivalued mappings satisfying a Suzuki-type δ-contraction in complete fuzzy metric spaces. Furthermore, we prove some several fixed point results for single and multivalued mappings in complete fuzzy metric spaces. We establish some examples that support some of the results in our study. As an application, we present the existence and uniqueness of solution for the system of functional equations in dynamic programming.