Iterative methods for solving a system of variational inclusions involving H-η-monotone operators in Banach spaces

In this paper, we introduce and study a new system of variational inclusions involving [email protected] operators in Banach space. Using the resolvent operator associated with [email protected] operators, we prove the existence and uniqueness of solutions for this new system of variational inclusions. We also construct a new algorithm for approximating the solution of this system and discuss the convergence of the sequence of iterates generated by the algorithm.