CRR-P-type and F-P-type contractions in b-metric spaces
AIMS MATHEMATICS, cilt.11, sa.7, ss.20407-20422, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 11 Sayı: 7
- Basım Tarihi: 2026
- Doi Numarası: 10.3934/math.2026829
- Dergi Adı: AIMS MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.20407-20422
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Gazi Üniversitesi Adresli: Evet
Özet
This research introduced two new contraction mappings by integrating i/r-modified interpolative Ciric-Reich-Rus-type and F-contractions with the recently established P-contraction framework. Specifically, the concepts of i/r-modified interpolative Ciric-Reich-Rus-P-type and F-Ptype contractions were formulated. Existence and uniqueness theorems for fixed points regarding these mappings were established within the context of complete b-metric spaces. To substantiate the theoretical findings, several illustrative examples were provided. Furthermore, the practical utility of the results was demonstrated by addressing the existence and uniqueness of solutions for both a specific class of nonlinear Fredholm integral equations and nonlinear fractional differential equations.