In this paper, we suggest and analyse a new viscosity semi-implicit midpoint iterative scheme for strict pseudo-contractions and $(\alpha ,\text{β})$-generalized hybrid mappings in real Hilbert space. Further, some strong convergence theorems for finding a common fixed point of strict pseudo-contractions and $(\alpha ,\text{β})$-generalized hybrid mappings are proved. And some applications are provided to quasi-variational inclusion problems. A numerical example is also given to demonstrate our results.

中文翻译：

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严格伪收缩和 (α, β)-广义混合映射的新粘度半隐式中点规则

在本文中，我们建议并分析了一种新的粘性半隐式中点迭代方案，用于严格的伪收缩和 $(\alpha ,\text{β})$-真实希尔伯特空间中的广义混合映射。此外，一些强收敛定理用于寻找严格伪收缩的公共不动点和$(\alpha ,\text{β})$证明了广义混合映射。并且为拟变分包含问题提供了一些应用。还给出了一个数值例子来证明我们的结果。