On the convergence and efficiency of a new contraction principle in fuzzy metric spaces

J. Ravinder, A. Bernick Raj, C. D. Nandakumar

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.

How to Cite this Article

J. Ravinder, A. Bernick Raj, C. D. Nandakumar, On the convergence and efficiency of a new contraction principle in fuzzy metric spaces, Adv. Fixed Point Theory, 16 (2026), Article ID 13. https://doi.org/10.28919/afpt/9598

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.