The purpose of this paper is to propose an algorithm for solving the split common fixed point problem for strict quasi-ϕ-pseudocontractive mappings in Banach spaces. It is proved that the sequence generated by the proposed iterative algorithm converges strongly to a solution of the split common fixed point problem. Then, the main result is used to study the split common null point problem and the split quasi-inclusion problem. Finally, a numerical example is provided to illustrate our main result. The results presented in this paper extend and improve some recent corresponding results.

中文翻译：

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Banach空间中严格拟ϕ伪压缩映射的分割公共不动点问题

本文的目的是提出一种解决Banach空间中严格拟ϕ伪压缩映射的分割公共不动点问题的算法。证明了所提出的迭代算法产生的序列强烈收敛于分裂公共不动点问题的解。然后，将主要结果用于研究分裂公共零点问题和分裂准包含问题。最后，提供了一个数值示例来说明我们的主要结果。本文提出的结果扩展并改进了一些近期的相应结果。