STABILITY OF PERTURBED ITERATIVE ALGORITHM FOR SOLVING A SYSTEM OF GENERALIZED GENERALIZED

Abstract

In this paper, we introduce and study a new system of strongly nonlinear quasi-variational inclusions involving generalized m-accretive mappings in Banach spaces. By using the resolvent operator technique for generalized m-accretive mapping due to Huang and Fang, we prove the existence theorem of the solution for this system of variational inclusions in Banach spaces, and discuss the convergence and stability of a new perturbed iterative algorithm for solving this system of nonlinear variational inclusions in Banach spaces. Our results improve and generalize the corresponding results of [3, 6, 9, 12].