Stability of iterative processes with errors for a system of nonlinear (A, η)-accretive variational inclusions in Banach spaces

摘要

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.