Fuzzy fixed point results for interpolative Kannan type contractions
Abstract
This paper generalizes the concept of interpolative Kannan type contractions from classical metric spaces to fuzzy metric spaces. We introduce a new class of fuzzy interpolative Kannan contractions and prove fixed point theorems under this framework. Our results extend and enrich the fuzzy fixed point theory by incorporating the interpolation method, thereby allowing wider applicability in uncertainty modeling.
- Published
- 11 August 2025
- Volume
- 2025 (2025)
- License
- CC BY 3.0
Copyright © 2025 Prachi Singh, Heena Soni. 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
P. Singh, H. Soni, Fuzzy fixed point results for interpolative Kannan type contractions, Eng. Math. Lett. 2025 (2025), 6. https://doi.org/10.28919/eml/9399
BibTeX
@article{Singh2025,
author = {Singh, Prachi and Soni, Heena},
title = {Fuzzy fixed point results for interpolative Kannan type contractions},
journal = {Eng. Math. Lett.},
volume = {2025},
year = {2025},
pages = {6},
doi = {10.28919/eml/9399}
}