Common fixed point theorems for (φ,F)-contraction mappings in cone b-metric spaces over Banach algebra with application
Abstract
In this study, the notion of the common fixed point theorem on contraction mappings is established using the class functions. The primary result is a generalization of the common fixed point theorems for (φ,F)-contraction mappings on cone b-metric spaces over Banach algebra A. Investigated are the common fixed points criteria for existence and uniqueness. Suitable examples are provided an illustrate the validity of our results. At the end of this article the existence of common solution for a class of functional equations arising in dynamic programming are demonstrated with the help of our main results.
Copyright © 2024 Maheshwaran Kanthasamy, Stojan N. Radenovic, Manoj Karuppasamy, Mohammad Saeed Khan, Huseyin Isik. 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. Kanthasamy, S. N. Radenovic, M. Karuppasamy, M. S. Khan, H. Isik, Common fixed point theorems for (φ,F)-contraction mappings in cone b-metric spaces over Banach algebra with application, Adv. Fixed Point Theory 14 (2024), 7. https://doi.org/10.28919/afpt/8373
BibTeX
@article{Kanthasamy2024,
author = {Kanthasamy, Maheshwaran and Radenovic, Stojan N. and Karuppasamy, Manoj and Khan, Mohammad Saeed and Isik, Huseyin},
title = {Common fixed point theorems for (φ,F)-contraction mappings in cone b-metric spaces over Banach algebra with application},
journal = {Adv. Fixed Point Theory},
volume = {14},
year = {2024},
pages = {7},
doi = {10.28919/afpt/8373}
}