On fixed point theorems satisfying Suzuki C(α,β)-contractions in S-metric space

Aruhi Somal, Naveen Mani, Rahul Shukla

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.

How to Cite this Article

Aruhi Somal, Naveen Mani, Rahul Shukla, On fixed point theorems satisfying Suzuki C(α,β)-contractions in S-metric space, Adv. Fixed Point Theory, 15 (2025), Article ID 51. https://doi.org/10.28919/afpt/9307

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.