Abstract.

In this paper, we introduce and consider a new system of extended general variational inclusions involving eight different operators. Using the resolvent operator techniques, we show that the new system of extended general variational inclusions is equivalent to the fixed point problem. We prove the strong convergence of some new explicit iterative parallel algorithms using resolvent methods under certain conditions. Our results improve and extend the recent results by Noor and Noor [11].

Keywords:

systems of general variational inclusions, explicit iteration algorithms, strong convergence, Hilbert spaces