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.
翻译:在本文中,我们建议用两种新颖的惯性类算法来解决在设定最高操作员方面共有的无效点问题(SCNPP) 。 所提出的算法的特点正在使用新的惯性结构( 即新的惯性类方法的设计既不需要事先计算美元与美元之间的差额的规范,也不需要考虑惯性参数的特殊价值$\theta_n$, 以使条件 $\sum_n=1 ⁇ infty \alpha_ n_x_n-x ⁇ n- ⁇ n-1 ⁇ 2 ⁇ infty$ 有效), 选择等分法也不需要事先了解操作员规范。 提出数字实验是为了说明算法的性能。