Some new fixed point theorems of rational type contraction with an application to coupled fixed point theory
Abstract
The aim of this article is to present several new theorems related to fixed points by considering a rational-type contractive condition on the mapping A, in the context of complete b-metric spaces. Our results extend and improve many earlier theorems in the literature. As an application, coupled fixed point results are given in the same framework. Furthermore, to demonstrate the practical applicability of the results obtained, a few examples are showcased.
Copyright © 2024 Iqbal M. Batiha, Besma Laouadi, Iqbal H. Jebril, Leila Benaoua, Taki-Eddine Oussaeif, Shawkat Alkhazaleh. 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
I. M. Batiha, B. Laouadi, I. H. Jebril, L. Benaoua, T.-E. Oussaeif, S. Alkhazaleh, Some new fixed point theorems of rational type contraction with an application to coupled fixed point theory, Adv. Fixed Point Theory 14 (2024), 52. https://doi.org/10.28919/afpt/8714
BibTeX
@article{Batiha2024,
author = {Batiha, Iqbal M. and Laouadi, Besma and Jebril, Iqbal H. and Benaoua, Leila and Oussaeif, Taki-Eddine and Alkhazaleh, Shawkat},
title = {Some new fixed point theorems of rational type contraction with an application to coupled fixed point theory},
journal = {Adv. Fixed Point Theory},
volume = {14},
year = {2024},
pages = {52},
doi = {10.28919/afpt/8714}
}