A generalized forward-backward method for solving split equality quasi inclusion problems in Banach spaces

A generalized forward-backward method for solving split equality quasi inclusion problems of accretive operators in Banach spaces is studied. Some strong convergence theorems for the sequences generalized by the algorithm to a solution of quasi inclusion problems of accretive operators are proved under certain assumptions. The results presented in this paper are new which extend and improve the corresponding results announced in the recent literatures. At the end of the paper some applications to monotone variational inequalities, convex minimization problem, and convexly constrained linear inverse problem are presented.