In this paper, we introduce and study a modified multi-step Noor iterative procedure with errors for two Lipschitz strictly hemicontractive-type mappings in arbitrary Banach spaces and constitute its convergence and stability. The obtained results in this paper generalize and extend the corresponding result of Hussain et al. (Fixed Point Theory Appl. 2012:160, 2012) and some analogous results of several authors in the literature. Finally, a numerical example is included to illustrate our analytical results and to display the efficiency of our proposed novel iterative procedure with errors.

中文翻译：

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Banach空间中严格半收缩型映射的带误差的修正多步Noor迭代程序的收敛性和稳定性

在本文中，我们介绍并研究了任意Banach空间中两个Lipschitz严格半压缩型映射的带错误的改进的多步Noor迭代程序，并构造了其收敛性和稳定性。本文中获得的结果推广并扩展了Hussain等人的相应结果。（固定点理论应用（Fixed Point Theory Appl。2012：160，2012）），以及文献中几位作者的类似结果。最后，包括一个数值示例来说明我们的分析结果并显示我们提出的新颖的有误差的迭代过程的效率。