Existence, Uniqueness and Iterative Algorithm for Variational Inclusion Problems

At the present paper, based on Lipschitz continuity of the resolvent operators of $H$-maximal $m$-relaxed $\eta$-monotone operators, existence and uniqueness of the solution for a problem of variational inclusions is achieved. Further, a three step iterative algorithm for constructing a sequence converging to the unique solution of this problem and its convergence theorem is given.