Geodesic
Some remarks and corrections of recent resultsfrom the framework of $S$-metric spaces
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 18 (2025) no. 3, pp. 402-411

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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 $\mathrm{F1}$ of strict increasing of the function $F$. In our results, we combine $\beta $-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.
Keywords: $S$-metric space, $b$-metric space, fixed point, $F$-contraction
Mots-clés : $\beta$-admissible. 
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Nora Fetouci; Stojan Radenović. Some remarks and corrections of recent resultsfrom the framework of $S$-metric spaces. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 18 (2025) no. 3, pp. 402-411. http://geodesic.mathdoc.fr/item/JSFU_2025_18_3_a11/