Siberian Federal University

The content of this paper consists of results on Wardowski’s F -contraction within S-metric spaces. Namely, in it we present corrections to some recent results by using only the property F1 of strict increasing of the function F . In our results, we combine β-admissible functions with F -contractions. Finally, we give an example that shows that F -contraction in the framework of S-metric spaces is a true generalization of Banach’s contraction principle in the same framework