Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 908490, 15 pages
doi:10.1155/2010/908490

A new system of generalized nonlinear mixed variational inclusions in Banach spaces

Abstract

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.