On fixed point theorems satisfying Suzuki C(α,β)-contractions in S-metric space
Abstract
The main aim of this paper is to introduce a generalized Suzuki-type contraction by employing two auxiliary functions α and β in S-metric spaces. Within this framework, we establish two fixed point theorems in the setting of complete S-metric spaces. In order to substantiate the originality and applicability of the main result, some consequences and relevant examples are provided.
Copyright © 2025 Aruhi Somal, Naveen Mani, Rahul Shukla. 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. Somal, N. Mani, R. Shukla, On fixed point theorems satisfying Suzuki C(α,β)-contractions in S-metric space, Adv. Fixed Point Theory 15 (2025), 51. https://doi.org/10.28919/afpt/9307
BibTeX
@article{Somal2025,
author = {Somal, Aruhi and Mani, Naveen and Shukla, Rahul},
title = {On fixed point theorems satisfying Suzuki C(α,β)-contractions in S-metric space},
journal = {Adv. Fixed Point Theory},
volume = {15},
year = {2025},
pages = {51},
doi = {10.28919/afpt/9307}
}