New generalization of strong-composed metric type spaces with special (ψ,φ)-contraction
Abstract
The study aims to propose several generalizations of a strong b-metric space which is called strong-composed metric spaces. Therefore, to illustrate the concept, the study provides examples of a Strong-composed metric space, which are not a Strong-controlled metric type space, it is also not a Strong b-metric space. Finally, the investigation demonstrates the uniqueness of some fixed-point results involving some general structure contractions with applications in nonlinear integral and fractional differential equations.
Copyright © 2025 Anas A. Hijab, Laith K. Shaakir. 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
A. A. Hijab, L. K. Shaakir, New generalization of strong-composed metric type spaces with special (ψ,φ)-contraction, Adv. Fixed Point Theory 15 (2025), 5. https://doi.org/10.28919/afpt/9016
BibTeX
@article{Hijab2025,
author = {Hijab, Anas A. and Shaakir, Laith K.},
title = {New generalization of strong-composed metric type spaces with special (ψ,φ)-contraction},
journal = {Adv. Fixed Point Theory},
volume = {15},
year = {2025},
pages = {5},
doi = {10.28919/afpt/9016}
}