An algorithm for solving a class of accretive variational inequalities involving pseudo-contractions

This paper is devoted to solving the following accretive variational inequality for finding xFix(T) such that where j(x-x)J(x-x), A is an accretive operator and Fix(T) is the set of fixed points of pseudo-contraction T. For this purpose, we construct an implicit algorithm and prove its convergence hierarchical to the solution of accretive variational inequality. Moreover, numerical experiments are presented to illustrate the effectiveness of our proposed algorithm and these numerical results show that our result is computationally easier and faster than previously known results on variational inequality problems.