Stability of iterative processes with errors for a system of nonlinear [formula omitted]-accretive variational inclusions in Banach spaces

Abstract

In this paper, by using the concept of ( A , η ) -accretive mappings and the new resolvent operator technique associated with ( A , η ) -accretive mappings, we introduce and study a system of general mixed quasivariational inclusions involving ( A , η ) -accretive mappings in Banach spaces, and construct a new perturbed iterative algorithm with mixed errors for this system of nonlinear ( A , η ) -accretive variational inclusions in q -uniformly smooth Banach spaces. Our results improve and generalize the corresponding results of recent works.