Fixed point results in controlled fuzzy metric spaces with an application to the conversion of solar energy into electric power

Rakesh Tiwari, Nidhi Sharma, Andreea Fulga, Rajesh Patel

Abstract

Aim of this paper is to provide sufficient conditions for a sequence to be Cauchy in the setting of controlled fuzzy metric space. Further, we generalize the concept of Banach’s contraction principle by utilizing certain new contraction conditions and prove fixed point results of quadratic type. Additionally we provide a number of examples to validate our main results. Conclusively, we provide an important application to the conversion of solar energy to electric power.

How to Cite this Article

Rakesh Tiwari, Nidhi Sharma, Andreea Fulga, Rajesh Patel, Fixed point results in controlled fuzzy metric spaces with an application to the conversion of solar energy into electric power, Adv. Fixed Point Theory, 15 (2025), Article ID 10. https://doi.org/10.28919/afpt/9078

Copyright © 2025 Rakesh Tiwari, Nidhi Sharma, Andreea Fulga, Rajesh Patel. 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.