Copyright © 2010 Hong-Gang Li et al. 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.
The main purpose of this paper is to introduce and study a new class of generalized
nonlinear set-valued quasi-variational inclusions system involving -accretive mappings in Banach spaces. By using the resolvent operator due to Lan-Cho-Verma associated with
-accretive mappings and the matrix analysis method, we prove the convergence of a new
hybrid proximal point three-step iterative algorithm for this system of set-valued variational
inclusions and an existence theorem of solutions for this kind of the variational inclusions
system. The results presented in this paper generalize, improve, and unify some recent results
in this field.