System of nonlinear set-valued variational inclusions involving a finite family of H(·,·)-accretive operators in banach spaces

We study a new system of nonlinear set-valued variational inclusions involving a finite family of h(·,·) -accretive operators in banach spaces. by using the resolvent operator technique associated with a finite family of h(·,·)-accretive operators,we prove the existence of the solution for the system of nonlinear set-valued variational inclusions. moreover,we introduce a new iterative scheme and prove a strong convergence theorem for finding solutions for this system. copyright © 2012 prapairat junlouchai and somyot plubtieng.