In this paper, the split common fixed point problem for quasi-pseudo-contractive mappings is studied in Hilbert spaces. By using the hybrid projection method, a new algorithm and some strong convergence theorems are established under suitable assumptions. Our results not only improve and generalize some recent results but also give an affirmative answer to an open question.

中文翻译：

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Hilbert空间中拟伪压缩映射的分割公共不动点问题

本文在希尔伯特空间中研究了拟伪压缩映象的分裂公共不动点问题。通过使用混合投影方法，在适当的假设下建立了新的算法和一些强收敛定理。我们的结果不仅改进和概括了最近的一些结果，而且对一个悬而未决的问题给出了肯定的答案。