Fixed Point of Orthogonal F-Suzuki Contraction Mapping on O-Complete b-Metric Spaces with Applications

Abstract

In this paper, we introduce the concept of generalized orthogonal <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mi>F</mi> </math> -Suzuki contraction mapping and prove some fixed point theorems on orthogonal <math xmlns="http://www.w3.org/1998/Math/MathML" id="M2"> <mi>b</mi> </math> -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.