  In this paper, we propose two novel inertial-like algorithms for solving the
split common null point problem (SCNPP) with respect to set-valued maximal
operators. The features of the presented algorithm are using new inertial
structure (i.e, the design of the new inertial-like method does neither involve
computation of the norm of the difference between $x_n$ and $x_{n-1}$ in
advance, nor need to consider the special value of the inertial parameter
$\theta_n$ to make the condition $\sum_{n=1}^\infty
\alpha_n\|x_n-x_{n-1}\|^2<\infty$ valid) and the selection of the step-sizes
does not need prior knowledge of operator norms. Numerical experiments are
presented to illustrate the performance of the algorithms.
