Fixed Point Results via Orthogonal (α − 𝔶 − 𝔾)-Contraction in Orthogonal Complete Metric Space

Abstract

In this publication, we establish a suitable symmetry structure for orthogonal (α−y−G)-contractive mappings and prove fixed point results for an orthogonal (α−y−G)-contractive via orthogonal metric spaces. We give an application to strengthen our main results from the existing literature to prove the existence of a unique analytical solution to the differential equation by converting it into an integral equation through fixed point analysis.

Keywords

• fixed point
• orthogonal metric space
• orthogonal α-admissible mapping
• orthogonal (α − ? − ?)-contraction