Common Fixed Point Theorems on Orthogonal Branciari Metric Spaces with an Application

Abstract

In this article, we modify the symmetry of orthogonal metric spaces and we prove common fixed point theorems via simulation functions in orthogonal Rectangular metric spaces. We also provide an illustrative example to support our results. The derived results have been applied to find analytical solutions to integral equations. The analytical solutions are verified with a numerical simulation.

Keywords

• fixed point
• simulation functions
• orthogonal Rectangular metric space
• orthogonal α-admissible functions