Composite relaxed extragradient method for triple hierarchical variational inequalities with constraints of systems of variational inequalities

In this paper, we introduce and analyze a composite relaxed extragradient viscosity algorithm for solving the triple hierarchical variational inequality problem with the constraint of general system of variational inequalities in a real Hilbert space. Strong convergence of the iteration sequences generated by the algorithm is established under some suitable conditions. Our results improve and extend the corresponding results in the earlier and recent literature.