Some common fixed point theorems in b-metric spaces under Geraghty-Berinde-Suzuki type contraction
Abstract
This paper explores the existence and uniqueness of common fixed points for two pairs of selfmaps satisfying a Geraghty-Berinde-Suzuki type contraction in complete b-metric spaces. We illustrate our findings with examples and derive a few corollaries from our findings. The significance of L in our contraction condition is also covered.
Copyright © 2024 Dasari Ratna Babu, K. Bhanu Chander, T. V. Pradeep Kumar, N. Siva Prasad. 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. R. Babu, K. B. Chander, T. V. P. Kumar, N. S. Prasad, Some common fixed point theorems in b-metric spaces under Geraghty-Berinde-Suzuki type contraction, Adv. Fixed Point Theory 14 (2024), 39. https://doi.org/10.28919/afpt/8637
BibTeX
@article{Babu2024,
author = {Babu, Dasari Ratna and Chander, K. Bhanu and Kumar, T. V. Pradeep and Prasad, N. Siva},
title = {Some common fixed point theorems in b-metric spaces under Geraghty-Berinde-Suzuki type contraction},
journal = {Adv. Fixed Point Theory},
volume = {14},
year = {2024},
pages = {39},
doi = {10.28919/afpt/8637}
}