Fixed point of orthogonal \(F\)-Suzuki contraction mapping on \(O\)-complete \(b\)-metric spaces with applications (Q2024585)

Summary: In this paper, we introduce the concept of generalized orthogonal \(F\)-Suzuki contraction mapping and prove some fixed point theorems on orthogonal \(b\)-metric spaces. Our results generalize and extend some of the well-known results in the existing literature. As an application of our results, we show the existence of a unique solution of the first-order ordinary differential equation.