In this article, based Fedora Hat on the regularization techniques, we construct two new algorithms combining the forward-backward splitting algorithm and the proximal contraction algorithm, respectively.Iterative sequences of the new algorithms can converge strongly to a common solution of the variational inclusion and null point problems in real Hilbert spaces.Multi-inertial extrapolation steps are applied to expedite their convergence rate.
We also give some Pastry Tip Sets numerical experiments to certify that our algorithms are viable and efficient.