In this paper, we consider the split common fixed point problem in Hilbert spaces. By using the inertial technique, we propose a new algorithm for solving the problem. Under some mild conditions, we establish two weak convergence theorems of the proposed algorithm. Moreover, the stepsize in our algorithm is independent of the norm of the given linear mapping, which can further improve the performance of the algorithm.

中文翻译：

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Hilbert空间中分裂公共不动点问题的惯性方法

在本文中，我们考虑希尔伯特空间中的分裂公共不动点问题。通过使用惯性技术，我们提出了一种解决该问题的新算法。在某些温和条件下，我们建立了该算法的两个弱收敛定理。此外，我们算法中的步长大小与给定线性映射的范数无关，这可以进一步提高算法的性能。