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

Archives › Volume 13 (2023)

Adv. Fixed Point Theory 13 (2023), Article ID 28

On certain applications via coupled fixed point theorems in partially ordered Gb-metric spaces

M.I. Pasha, K.R.K. Rao, B. Srinuvasa Rao, N. Mangapathi

PDF (191.4 KB) https://doi.org/10.28919/afpt/8243

Abstract

In this paper, we prove certain coupled fixed point theorems for generalised mappings of the kind (ψ,φ)- contraction in complete Gb-metric spaces with partial order. Our findings are supported by a concrete illustration. We also provide a practical application of these findings to the resolution of integral equations, matrix equations, and homotopy theory.

Published
21 November 2023
Volume
13 (2023)
License
CC BY 3.0

Copyright © 2023 M.I. Pasha, K.R.K. Rao, B. Srinuvasa Rao, N. Mangapathi. 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

M. I. Pasha, K. R. K. Rao, B. S. Rao, N. Mangapathi, On certain applications via coupled fixed point theorems in partially ordered Gb-metric spaces, Adv. Fixed Point Theory 13 (2023), 28. https://doi.org/10.28919/afpt/8243

BibTeX
@article{Pasha2023,
  author  = {Pasha, M.I. and Rao, K.R.K. and Rao, B. Srinuvasa and Mangapathi, N.},
  title   = {On certain applications via coupled fixed point theorems in partially ordered Gb-metric spaces},
  journal = {Adv. Fixed Point Theory},
  volume  = {13},
  year    = {2023},
  pages   = {28},
  doi     = {10.28919/afpt/8243}
}