Algorithm for a New System of Completely Generalized Multi‐valued Variational Inclusions

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.