A perturbed algorithm for a system of variational inclusions involving H(⋅,⋅)H(⋅,⋅)-accretive operators in Banach spaces

In this paper, using the properties of graph convergence of H(⋅,⋅)H(⋅,⋅)-accretive operators, we construct a perturbed algorithm for solving systems of ill-posed variational inclusions involving H(⋅,⋅)H(⋅,⋅)-accretive operators. Under some suitable conditions, we prove that the sequence generated by the proposed method is strongly convergent to the unique solution of the problem. The main results presented in this paper generalize and improve some recent results in the literature.