On the convergence and efficiency of a new contraction principle in fuzzy metric spaces
Abstract
In this paper, we introduce a new contraction principle that guarantees the existence and uniqueness of a fixed point in a complete fuzzy metric space. The efficiency of the proposed contraction is examined through the estimation of both prior and posterior errors, and its rate of convergence is illustrated with numerical examples.
Copyright © 2026 J. Ravinder, A. Bernick Raj, C. D. Nandakumar. 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
J. Ravinder, A. B. Raj, C. D. Nandakumar, On the convergence and efficiency of a new contraction principle in fuzzy metric spaces, Adv. Fixed Point Theory 16 (2026), 13. https://doi.org/10.28919/afpt/9598
BibTeX
@article{Ravinder2026,
author = {Ravinder, J. and Raj, A. Bernick and Nandakumar, C. D.},
title = {On the convergence and efficiency of a new contraction principle in fuzzy metric spaces},
journal = {Adv. Fixed Point Theory},
volume = {16},
year = {2026},
pages = {13},
doi = {10.28919/afpt/9598}
}