In this paper, we propose a new iterative algorithm for solving the multiple-sets split feasibility problem (MSSFP for short) and the split equality fixed point problem (SEFPP for short) with firmly quasi-nonexpansive operators or nonexpansive operators in real Hilbert spaces. Under mild conditions, we prove strong convergence theorems for the algorithm by using the projection method and the properties of projection operators. The result improves and extends the corresponding ones announced by some others in the earlier and recent literature.

中文翻译：

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固定准非扩张或非扩张映射的多集分裂可行性问题和分裂相等不动点问题

在本文中，我们提出了一种新的迭代算法，用于在实 Hilbert 空间中解决多集分裂可行性问题（简称 MSSFP）和分裂相等不动点问题（简称 SEFPP）。在温和条件下，我们利用投影方法和投影算子的性质证明了算法的强收敛定理。结果改进并扩展了其他一些人在早期和最近的文献中宣布的相应结果。