A generalization of Suzuki's fixed point theorem for nonexpansive mappings to a system of mappings
Abstract
In this paper, we present a generalization of Suzuki’s fixed point theorem [J. Math. Anal. Appl., 340 (2008), 2, 1088-1095] for nonexpansive mappings to a system of mappings. Furthermore, we establish an existence result for two systems of mappings under the assumption of coordinatewise commutativity. Additionally, we provide some examples to support our findings.
Copyright © 2024 Deepak Khantwal. 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
D. Khantwal, A generalization of Suzuki's fixed point theorem for nonexpansive mappings to a system of mappings, Adv. Fixed Point Theory 14 (2024), 55. https://doi.org/10.28919/afpt/8799
BibTeX
@article{Khantwal2024,
author = {Khantwal, Deepak},
title = {A generalization of Suzuki's fixed point theorem for nonexpansive mappings to a system of mappings},
journal = {Adv. Fixed Point Theory},
volume = {14},
year = {2024},
pages = {55},
doi = {10.28919/afpt/8799}
}