We connect the iteration process with the class of generalized -nonexpansive mappings. Under some appropriate assumption, we establish some weak and strong convergence theorems in Banach spaces. To show the numerical efficiency of our established results, we provide a new example of generalized -nonexpansive mappings and show that its iteration process is more efficient than many other iterative schemes. Our results are new and extend the corresponding known results of the current literature.

中文翻译：

---

Banach空间中使用迭代过程的不动点迭代逼近

我们连接与广义的迭代过程-非扩张映射。在一些适当的假设下，我们在 Banach 空间中建立了一些弱收敛定理和强收敛定理。为了表示我们的既定结果的数值效率，我们提供的推广一个新的例子-非扩张映射和显示，其迭代过程比许多其他的迭代方案更有效。我们的结果是新的，扩展了当前文献的相应已知结果。