Fixed point theorem on an orthogonal extended interpolative ψF-contraction

Abstract

In this paper, we establish the fixed point results for an orthogonal extended interpolative Ciric Reich-Rus type $ \psi\mathcal{F} $-contraction mapping on an orthogonal complete $ \mathfrak{b} $-metric spaces and give an example to strengthen our main results. Furthermore, we present an application to fixed point results to find analytical solutions for functional equation.

Keywords

• complete $ \mathfrak{b} $-metric spaces
• fixed point
• orthogonal extended interpolative ciric reich-rus type $ \psi\mathcal{f} $-contraction