Some convergence results in modular spaces with application to a system of integral equations

Buyukkaya A., Younis M., Kesik D., ÖZTÜRK M.

AIMS MATHEMATICS, cilt.9, sa.11, ss.31030-31056, 2024 (SCI-Expanded, Scopus) identifier identifier

  • 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.