The p-step iterative algorithm for a system of generalized mixed quasi-variational inclusions with (A, η)-accretive operators in q-uniformly smooth banach spaces

In this paper, we introduce and study a new system of generalized mixed quasi-variational inclusions with (A, eta)-accretive operators in q-uniformly smooth Banach spaces. By using the resolvent operator technique associated with (A, eta)-accretive operators, we construct a new p-step iterative algorithm for solving this system of generalized mixed quasi-variational inclusions in real q-uniformly smooth Banach spaces. We also prove the existence of solutions for the generalized mixed quasi-variational inclusions and the convergence of iterative sequences generated by algorithm. Our results improve and generalize many known corresponding results. (C) 2007 Elsevier B.V. All rights reserved.