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

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

AIMS MATHEMATICS, vol.9, no.11, pp.31030-31056, 2024 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 9 Issue: 11
  • Publication Date: 2024
  • Doi Number: 10.3934/math.20241497
  • Journal Name: AIMS MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
  • Page Numbers: pp.31030-31056
  • Karadeniz Technical University Affiliated: Yes

Abstract

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.