In the literature there are several methods for comparing two convergent iterative processes for the same problem. In this note we have in view mostly the one introduced by Berinde in (Fixed Point Theory Appl. 2:97–105, 2004) because it seems to be very successful. In fact, if IP1 and IP2 are two iterative processes converging to the same element, then IP1 is faster than IP2 in the sense of Berinde. The aim of this note is to prove this almost obvious assertion and to discuss briefly several papers that cite the mentioned Berinde’s paper and use his method for comparing iterative processes.

中文翻译：

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关于贝林德比较迭代过程的方法

在文献中，有几种方法可以比较同一问题的两个收敛迭代过程。在本文中，我们主要考虑了Berinde在（Fixed Point Theory Appl。2：97-105，2004）中引入的方法，因为它似乎非常成功。实际上，如果IP1和IP2是收敛到同一元素的两个迭代过程，那么就Berinde而言，IP1比IP2快。本文的目的是证明这一几乎显而易见的主张，并简要讨论引用该Berinde论文并使用其方法比较迭代过程的几篇论文。