Applications of fixed point theorems in S-metric spaces to Volterra-type integro-differential equations

Abstract

In this study, we explore various forms of generalized contractions within the framework of S-metric spaces. Our findings extend and generalize several existing results in the literature. To enhance understanding, we provide illustrative examples. Furthermore, we demonstrate the applicability of our theoretical results by establishing the existence of solutions to a class of Volterra integro-differential equations.