Research Article A New System of Generalized Nonlinear Mixed Variational Inclusions in Banach Spaces

Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We introduce and study a new system of generalized nonlinear mixed variational inclusions in real q-uniformly smooth Banach spaces. We prove the existence and uniqueness of solution and the convergence of some new n-step iterative algorithms with or without mixed errors for this system of generalized nonlinear mixed variational inclusions. The results in this paper unify, extend, and improve some known results in literature. 1