We study the recently introduced generalized split common null point problem in Hilbert spaces. In order to solve this problem, we propose two new parallel algorithms and establish strong convergence theorems for both of them. Our schemes combine the hybrid and shrinking projection methods with the proximal point algorithm.

中文翻译：

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求解希尔伯特空间中广义分裂公共零点问题的并行迭代方法

我们研究了希尔伯特空间中最近引入的广义分裂公共零点问题。为了解决这个问题，我们提出了两种新的并行算法，并为它们建立了强收敛定理。我们的方案将混合和收缩投影方法与近端点算法相结合。