This paper aims to propose a new reckoning method for solving the split equality fixed point problem of demicontractive operators in Hilbert spaces, and to establish a theorem with regard to the strong convergence of this new scheme. As an application, we also consider quasi-pseudo-contractive operators and obtain a result on the solution to the split equality fixed point problem in the framework of Hilbert spaces. A numerical example is also provided.

中文翻译：

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半收缩算子的分裂等式不动点问题的数值例子及应用

本文旨在提出一种求解希尔伯特空间中解收缩算子分裂等式不动点问题的新推算方法，并建立关于该新方案强收敛性的定理。作为一个应用，我们还考虑了拟伪收缩算子，并在希尔伯特空间的框架内得到了分裂等式不动点问题的解的结果。还提供了一个数值示例。