Abstract
In this paper, we introduce the concept of graph convergence for eta-subdifferential mapping of a nonconvex, proper, lower semi-continuous and subdifferential functional on Banach space and discuss its existence and Lipschitz continuity. Further, we prove equivalence between graph convergence and resolvent operator convergence. We propose a new iterative algorithm for solving the system of generalized implicit variational-like inclusions. Furthermore, we prove the existence of solution for the system of generalized implicit variational-like inclusions and discuss the convergence of iterative sequences generated by proposed algorithm.