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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 48

Existence of approximate best proximity point of the triplets \((Q_1, Q_2, Q_3)\) on G-metric spaces and its applications

D. Sujatha, S. R. Ananthalakshmi, R. Theivaraman

PDF (166.5 KB) https://doi.org/10.28919/afpt/9548

Abstract

In this paper, we investigate the existence (qualitative results) and the diameter (quantitative results) of the approximate best proximity point of the triplets (Q1,Q2,Q3) on G-metric spaces using various self-maps which includes G-B contraction, G-Bianchini contraction, and so on. Also, a few examples are provided to demonstrate our findings. Finally, we discuss some applications of approximate best proximity point results in the domain of differential equations rigorously.

Published
7 November 2025
Volume
15 (2025)
License
CC BY 3.0

Copyright © 2025 D. Sujatha, S. R. Ananthalakshmi, R. Theivaraman. 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

D. Sujatha, S. R. Ananthalakshmi, R. Theivaraman, Existence of approximate best proximity point of the triplets \((Q_1, Q_2, Q_3)\) on G-metric spaces and its applications, Adv. Fixed Point Theory 15 (2025), 48. https://doi.org/10.28919/afpt/9548

BibTeX
@article{Sujatha2025,
  author  = {Sujatha, D. and Ananthalakshmi, S. R. and Theivaraman, R.},
  title   = {Existence of approximate best proximity point of the triplets \((Q_1, Q_2, Q_3)\) on G-metric spaces and its applications},
  journal = {Adv. Fixed Point Theory},
  volume  = {15},
  year    = {2025},
  pages   = {48},
  doi     = {10.28919/afpt/9548}
}