This article is aimed at introducing an iterative scheme to approximate the common solution of split variational inclusion and a fixed-point problem of a finite collection of nonexpansive mappings. It is proven that under some suitable assumptions, the sequences achieved by the proposed iterative scheme converge strongly to a common element of the solution sets of these problems. Some consequences of the main theorem are also given. Finally, the convergence analysis of the sequences achieved from the iterative scheme is illustrated with the help of a numerical example.

中文翻译：

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非扩张映射有限集合的分裂变分包含和不动点问题的迭代方案

本文旨在介绍一种迭代方案，以逼近分裂变分包含的常见解和非扩展映射的有限集合的不动点问题。事实证明，在某些适当的假设下，所提出的迭代方案所实现的序列会强烈收敛于这些问题的解集的一个共同元素。还给出了主定理的一些结果。最后，借助一个数值示例说明了从迭代方案获得的序列的收敛性分析。