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

Autor: Abdurrahman Büyükkaya, Mudasir Younis, Dilek Kesik, Mahpeyker Öztürk
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: AIMS Mathematics, Vol 9, Iss 11, Pp 31030-31056 (2024)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.20241497?viewType=HTML
Popis: 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.
Databáze: Directory of Open Access Journals