  In this paper we study a class of split variational inclusion (SVI) and
regularized split variational inclusion (RSVI) problems in real Hilbert spaces.
We discuss various analytical properties of the net generated by the RSVI and
establish the existence and uniqueness of the solution to the RSVI. Using
analytical properties of this net and under certain assumptions on the
parameters and mappings associated with the SVI, we establish the strong
convergence of the sequence generated by our proposed iterative algorithm. We
also deduce another iterative algorithm by taking the regularization parameters
to be zero in our proposed algorithm. We establish the weak convergence of the
sequence generated by our new algorithm under certain assumptions. Moreover, we
discuss two special cases of the SVI, namely the split convex minimization and
the split variational inequality problems, and give several numerical examples.
