@article{Büyükkaya2024, 
author = {Abdurrahman Büyükkaya and Mudasir Younis and Dilek Kesik and Mahpeyker Öztürk},
title = {Some convergence results in modular spaces with application to a system of integral equations},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {11},
pages = {31030-31056},
keywords = {fixed point, partial modular b−metric, Proinov type contraction, Fredholm integral equation},
url = {https://www.sciopen.com/article/10.3934/math.20241497},
doi = {10.3934/math.20241497},
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.}
}