Some common fixed point theorems in b-metric spaces via F-class function with applications
Abstract
This article explores the existence of common fixed points for two pairs of self-maps satisfying a contractive condition involving rational expression using F-class function in complete b-metric spaces. In order to support our findings, we draw some corollaries and give examples. Finally, we present applications to nonlinear integral, functional equations and fractional differential equations.
Copyright © 2024 D. Ratna Babu, N. Siva Prasad, V. Amarendra Babu, K. Bhanu Chander, Ch. Suresh. 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. Ratna Babu, N. Siva Prasad, V. Amarendra Babu, K. Bhanu Chander, C. Suresh, Some common fixed point theorems in b-metric spaces via F-class function with applications, Adv. Fixed Point Theory 14 (2024), 24. https://doi.org/10.28919/afpt/8515
BibTeX
@article{Babu2024,
author = {Ratna Babu, D. and Siva Prasad, N. and Amarendra Babu, V. and Bhanu Chander, K. and Suresh, Ch.},
title = {Some common fixed point theorems in b-metric spaces via F-class function with applications},
journal = {Adv. Fixed Point Theory},
volume = {14},
year = {2024},
pages = {24},
doi = {10.28919/afpt/8515}
}