Abstract
The aim of this paper is to study a new generalized system of nonlinear variational inclusions involving H(.,.)-co-accretive mapping in Banach spaces. Using the concept of resolvent operator associated to H(.,.)-co-accretive mapping, we prove the existence for this generalized system of nonlinear variational inclusions. We show the convergence and stability of this new system of variational inclusion using the proposed perturbed iterative algorithm. The results presented in this paper generalize, improve and unify the previously known results in this area. An example is also given.