Fixed Point Results for Interpolative F-contraction in S-Metric Spaces

Abstract

This paper introduces the concepts of extended interpolative Kannan-type F-contraction and
Reich-Rus- Ciric type F-contraction in S-metric spaces. We develop a comprehensive theoretical framework
for these new interpolative contractions and establish several fixed point results under suitable conditions. To
validate our main results, illustrative examples are provided. Furthermore, we give an application to integral
equations.