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

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Adv. Fixed Point Theory 14 (2024), Article ID 41

Convergence theorems in G-metric space and its application

A. Kamal, Doaa Rizk, K. Maheshwaran, T.C. Mujeeburahman

PDF (145.0 KB) https://doi.org/10.28919/afpt/8680

Abstract

The present paper is an attempt to prove convergence theorems to a unique fixed point in complete G-metric space. It also provides the consequences of our main result. Furthermore, some up to date results in the setting of G-metric spaces will be improved and supplemented by the convergence theorems. As an application of our results, it also proves some previous theorems as special cases. The results demonstrated in this study unify and enlarge some known results in this area.

Published
12 August 2024
Volume
14 (2024)
License
CC BY 3.0

Copyright © 2024 A. Kamal, Doaa Rizk, K. Maheshwaran, T.C. Mujeeburahman. 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

A. Kamal, D. Rizk, K. Maheshwaran, T. C. Mujeeburahman, Convergence theorems in G-metric space and its application, Adv. Fixed Point Theory 14 (2024), 41. https://doi.org/10.28919/afpt/8680

BibTeX
@article{Kamal2024,
  author  = {Kamal, A. and Rizk, Doaa and Maheshwaran, K. and Mujeeburahman, T.C.},
  title   = {Convergence theorems in G-metric space and its application},
  journal = {Adv. Fixed Point Theory},
  volume  = {14},
  year    = {2024},
  pages   = {41},
  doi     = {10.28919/afpt/8680}
}