We propose a parallel iterative scheme with viscosity approximation method which converges strongly to a solution of the multiple-set split equality common fixed point problem for quasi-pseudocontractive mappings in real Hilbert spaces. We also give an application of our result to approximation of minimization problem from intensity-modulated radiation therapy. Finally, we present numerical examples to demonstrate the behaviour of our algorithm. This result improves and generalizes many existing results in literature in this direction.

中文翻译：

---

求解希尔伯特空间中拟收缩映射的多集分裂等式公共不动点问题的粘性逼近方法

我们提出了一种具有粘性近似方法的并行迭代方案，该方案强烈收敛于实 Hilbert 空间中准伪收缩映射的多集分裂等式公共不动点问题的解决方案。我们还将我们的结果应用于强度调制放射治疗的最小化问题的近似。最后，我们给出了数值例子来演示我们算法的行为。这个结果改进和概括了这个方向的文献中的许多现有结果。