Some convergence results in modular spaces with application to a system of integral equations
AIMS MATHEMATICS, cilt.9, sa.11, ss.31030-31056, 2024 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 9 Sayı: 11
- Basım Tarihi: 2024
- Doi Numarası: 10.3934/math.20241497
- Dergi Adı: AIMS MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
- Sayfa Sayıları: ss.31030-31056
- Karadeniz Teknik Üniversitesi Adresli: Evet
Özet
The paper aimed to achieve three primary objectives. First, it introduced significant common fixed point results in the context of newly proposed partial modular b- metric spaces, thus contributing to the advancement of this field. Second, it presented unique results using a direct approach that did not depend on the strong continuity of the mapping, thereby offering a valuable perspective. Finally, it applied previously established convergence techniques to determine a common solution for a system of Fredholm integral equations, demonstrating the practical implications of the theoretical findings.