G-metric spaces and the related approximate fixed point results
Abstract
In this paper, we investigate the existence and diameter of the approximate fixed point results on G-metric spaces (not necessarily complete) by using various contraction mappings, including G-B contraction, G-Bianchini contraction, and so on. Additionally, we prove the same approximate fixed point results for rational type contraction mappings, which were discussed mainly in [11] and [16], in the setting of G-metric space. Also, a few examples are provided to demonstrate our findings. Finally, we discuss some applications of approximate fixed point results in the field of applied mathematics rigorously.
Copyright © 2023 R. Theivaraman, P. S. Srinivasan, M. Marudai, S. Thenmozhi, A. Herminau Jothy. 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
R. Theivaraman, P. S. Srinivasan, M. Marudai, S. Thenmozhi, A. Herminau Jothy, G-metric spaces and the related approximate fixed point results, Adv. Fixed Point Theory 13 (2023), 17. https://doi.org/10.28919/afpt/8178
BibTeX
@article{Theivaraman2023,
author = {Theivaraman, R. and Srinivasan, P. S. and Marudai, M. and Thenmozhi, S. and Herminau Jothy, A.},
title = {G-metric spaces and the related approximate fixed point results},
journal = {Adv. Fixed Point Theory},
volume = {13},
year = {2023},
pages = {17},
doi = {10.28919/afpt/8178}
}