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

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. [ABSTRACT FROM AUTHOR]