A system of variational inclusions with PP–ηη-accretive operators

In this paper, we introduce and study a system of variational inclusions with PP–ηη-accretive operators in real q  -uniformly smooth Banach spaces. By using the resolvent operator technique associated with PP–ηη-accretive operators, we prove the existence and uniqueness of solutions for this system of variational inclusions and construct a Mann iterative algorithm to approximate the unique solution. The results in this paper extend and improve some known results in the literature.