This manuscript deals with two general systems of nonlinear ordered variational inclusion problems. We also construct some new iterative algorithms for finding approximation solutions to the general systems of nonlinear ordered variational inclusions and prove the convergence of the sequences obtained by the schemes. The results presented in the manuscript are new and improve some well-known results in the literature.
Keywords: Algorithm; Nonlinear ordered variational inclusions; Ordered Hilbert space; System; Weak-ARD mapping.