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.