Tripled Fixed Point Methodologies for Finding a Solution to a System of Nonlinear Integral Equations on Orthogonal Metric Spaces

This manuscript is devoted to obtaining tripled fixed point results in the setting of orthogonal metric spaces. Also, some corollaries are presented. Furthermore, we obtained some results of the existence and uniqueness for tripled fixed point for orthogonal complete metric spaces which are not satisfied for complete metric spaces and we discussed this in an example. Ultimately, to support the theoretical results, a system of nonlinear integral equations is given as an application.