Abstract In this paper, using the hybrid method defined by Nakajo and Takahashi, we first obtain a strong convergence theorem for two noncommutative generic skew generalized nonspreading mappings in a Banach space. Next, using the shrinking projection method defined by Takahashi, Takeuchi and Kubota, we prove another strong convergence theorem for the mappings in a Banach space. Using these results, we get new strong convergence theorems by the hybrid method and the shrinking projection method in a Hilbert space and a Banach space.

中文翻译：

---

Banach空间中两个非对易非线性映射的混合方法强收敛定理

摘要 本文利用 Nakajo 和 Takahashi 定义的混合方法，首先得到了 Banach 空间中两个非交换泛型偏斜广义非扩展映射的强收敛定理。接下来，使用 Takahashi、Takeuchi 和 Kubota 定义的收缩投影方法，我们证明了 Banach 空间中映射的另一个强收敛定理。使用这些结果，我们通过混合方法和收缩投影方法在希尔伯特空间和巴拿赫空间中得到新的强收敛定理。