Integral-type contraction on orthogonal S $\mathcal{S}$ -metric spaces with common fixed-point results and applications to fractional integral equations

Abstract

Abstract In this article, we present common fixed-point theorems for contractions of integral type within the framework of orthogonal S $\mathcal{S}$ -metric spaces. Examples are provided to illustrate the findings. This work extends and generalizes numerous results from existing literature. Furthermore, the theoretical results are reinforced through an application to a fractional integral equation.

Keywords

• Integral-type contraction
• S $\mathcal{S}$ -metric spaces
• Orthogonal metric spaces
• Riemann–Liouville fractional integral