Exploring fixed point theorems in orthogonal metric spaces with applications to nonlinear integral and fractional differential equations
Abstract
This research paper focuses on the exploration of new fixed point results in orthogonal metric spaces and their applications on nonlinear integral equations and fractional differential equations. The objective is to enhance our understanding of iterative algorithms and provide effective solutions for these equations. To support the significance of our findings, illustrated examples are provided.
Copyright © 2025 Haitham Qawaqneh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
H. Qawaqneh, Exploring fixed point theorems in orthogonal metric spaces with applications to nonlinear integral and fractional differential equations, Adv. Fixed Point Theory 15 (2025), 23. https://doi.org/10.28919/afpt/9000
BibTeX
@article{Qawaqneh2025,
author = {Qawaqneh, Haitham},
title = {Exploring fixed point theorems in orthogonal metric spaces with applications to nonlinear integral and fractional differential equations},
journal = {Adv. Fixed Point Theory},
volume = {15},
year = {2025},
pages = {23},
doi = {10.28919/afpt/9000}
}