System of generalized variational inclusions with HH-accretive operators in uniformly smooth Banach spaces

In this paper, we consider and study a system of generalized variational inclusions with HH-accretive operators in uniformly smooth Banach spaces. We prove the convergence of iterative algorithm for this system of generalized variational inclusions. A new definition of HH-resolvent operator as a retraction is introduced, and in support of the definition, we have constructed an example and a numerical example through Matlab programming. Some special cases are also discussed.