Iterative methods for solving variational inclusions in Banach spaces

In this paper, we consider a system of nonlinear variational inclusions involving HH-accretive operators studied by Huang and Fang in qq-uniformly smooth Banach spaces. Using resolvent operator technique, we suggest an iterative algorithm for finding an approximate solution to the system of variational inclusions. Further, we discuss convergence criteria for the approximate solution of the system of variational inclusions. The theorems presented in this paper improve and unify many known results of variational inclusions.