Some approximate fixed point results for various contraction type mappings
Abstract
In this text, we investigate approximate fixed point results for various contraction mappings in a metric space. This manuscript’s intention is to demonstrate ε-fixed point results on metric spaces (not necessarily complete) by using contraction mappings such as B-contraction, convex contraction, and so on. The findings are extensions of several others, including the Kannan-type mapping, the Chatterjea-type mapping, and the S. A. M. Mohsenalhosseini-type mapping, etc. A few examples are included to illustrate the results. Finally, we discuss some applications of approximate fixed point results in the field of applied mathematics rigorously.
Copyright © 2023 R. Theivaraman, P. S. Srinivasan, S. Thenmozhi, S. Radenovic. 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, S. Thenmozhi, S. Radenovic, Some approximate fixed point results for various contraction type mappings, Adv. Fixed Point Theory 13 (2023), 9. https://doi.org/10.28919/afpt/8080
BibTeX
@article{Theivaraman2023,
author = {Theivaraman, R. and Srinivasan, P. S. and Thenmozhi, S. and Radenovic, S.},
title = {Some approximate fixed point results for various contraction type mappings},
journal = {Adv. Fixed Point Theory},
volume = {13},
year = {2023},
pages = {9},
doi = {10.28919/afpt/8080}
}