Abstract
In this work, we introduce and study a new system of completely generalized multi-valued variational inclusions in uniformly smooth Banach spaces. By using the resolvent operator technique associated with m-accretive mappings, we propose an iterative algorithm for computing the approximate solutions of system of completely generalized multi-valued variational inclusions. We prove that approximate solutions obtained by the proposed algorithm converge to the exact solutions of system of completely generalized multi-valued variational inclusions. The results in this paper unify, extend and improve some known results from the literature.