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Advances in Fixed Point Theory ISSN 1927-6303 (Print)

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Adv. Fixed Point Theory 15 (2025), Article ID 10

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.

Published
14 February 2025
Volume
15 (2025)
License
CC BY 3.0

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.

Cite this article

R. Tiwari, N. Sharma, A. Fulga, R. 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), 10. https://doi.org/10.28919/afpt/9078

BibTeX
@article{Tiwari2025,
  author  = {Tiwari, Rakesh and Sharma, Nidhi and Fulga, Andreea and Patel, Rajesh},
  title   = {Fixed point results in controlled fuzzy metric spaces with an application to the conversion of solar energy into electric power},
  journal = {Adv. Fixed Point Theory},
  volume  = {15},
  year    = {2025},
  pages   = {10},
  doi     = {10.28919/afpt/9078}
}