Using iterative regularizations, we introduce a new proximal-like algorithm for solving split variational inclusion problems in Hilbert space and establish a strong convergence theorem for it. As applications, we also investigate the split feasibility and split optimization problems. Several numerical experiments are presented in support of our theoretical findings.

中文翻译：

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一种解决分裂变分包含问题的类新近邻算法

使用迭代正则化，我们引入了一种新的近似类算法来解决希尔伯特空间中的分裂变分包含问题，并为此建立了强大的收敛性定理。作为应用程序，我们还将研究拆分可行性和拆分优化问​​题。为了支持我们的理论发现，提出了一些数值实验。