Iterative Methods for Solving a New System of Variational Inclusions with (A,?)-Accretive Operators in Banach Spaces

Abstract

In this paper, we introduce and study a new system of variational inclusions with (A, eta) accretive operators in real q-uniformly smooth Banach spaces. By using the resolvent operator technique associated with (A, eta) accretive operators, we construct some new iterative algorithm for approximating the solution of this system of variational inclusion. And we prove the existence and uniqueness of solutions and convergence of the sequences generated by the algorithms in Banach spaces. The results in this paper extend some known results in the literature.