With the help of the Meir-Keeler contraction method and the Mann-type
method, two adaptive inertial iterative schemes are introduced for
finding solutions of the split variational inclusion problem in Hilbert
spaces. The strong convergence of the suggested algorithms are
guaranteed by a new stepsize criterion that does not require calculation
of the bounded linear operator norm. Some numerical experiments and
applications in signal recovery problems are given to demonstrate the
efficiency of the proposed algorithms.