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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 30

Some fixed circle theorems in multiplicative metric spaces

Sreerekha Parappilly, Shaini Pulickakunnel

PDF (195.1 KB) https://doi.org/10.28919/afpt/9358

Abstract

The fixed point theory and its relevance to diverse scientific domains are widely recognized. The field of fixed point theory has incorporated a novel geometric concept known as the fixed circle problem. This paper establishes the existence and uniqueness theorems concerning fixed circles of self mappings on multiplicative metric spaces. We introduced the Caristi type contraction in the framework of multiplicative metric spaces and utilizing this concept, established theorems guaranteeing the existence of fixed circles. We validate our findings through illustrative examples.

Published
28 July 2025
Volume
15 (2025)
License
CC BY 3.0

Copyright © 2025 Sreerekha Parappilly, Shaini Pulickakunnel. 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

S. Parappilly, S. Pulickakunnel, Some fixed circle theorems in multiplicative metric spaces, Adv. Fixed Point Theory 15 (2025), 30. https://doi.org/10.28919/afpt/9358

BibTeX
@article{Parappilly2025,
  author  = {Parappilly, Sreerekha and Pulickakunnel, Shaini},
  title   = {Some fixed circle theorems in multiplicative metric spaces},
  journal = {Adv. Fixed Point Theory},
  volume  = {15},
  year    = {2025},
  pages   = {30},
  doi     = {10.28919/afpt/9358}
}