Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 908490, 15 pages
Research Article

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

College of Mathematics and Computer Science, Chongqing Normal University, Chongqing Sichuan 400047, China

Received 5 July 2009; Accepted 14 September 2009

Academic Editor: Mohamed A. Khamsi

Copyright © 2010 Jian Wen Peng. This is an open access article distributed under the Creative 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.