On Geraghty ⊥-contractions in O-metric spaces and an application to an ordinary type differential equation

Abstract

By combining the concept of orthogonality and the Geraghty type contraction, we give some fixed point results in the class of O-metric spaces. Our obtained results extend the existing results in the literature. We also resolve an ordinary type differential equation.

Keywords

• o-metric space
• geraghty contraction mapping
• orthogonal set
• ordinary differential equation