H(·, ·)-φ-η-accretive operator with an application to a system of generalized variational inclusion problems in q-uniformly smooth Banach spaces

In this paper, we study a new system of generalized variational-like inclusion problems involving generalized H(·, ·)-φ-η-accretive operators in real q-uniformly smooth Banach spaces. We define the resolvent operator associated with H(·, ·)-φ-η-accretive operator and prove it is single-valued and Lipschitz continuous. Moreover, we suggest a perturbed Mann-type iterative algorithm with errors for approximating the solution of a system of generalized variational-like inclusion problems. Furthermore, we discuss the convergence and stability analysis of the iterative sequence generated by the algorithm.