In this article, we study the approximate fixed point sequence of an evolution family. A family of a bounded nonlinear operator acting on a metric space is said to be an evolution family if and for all . We prove that the common approximate fixed point sequence is equal to the intersection of the approximate fixed point sequence of two operators from the family. Furthermore, we apply the Ishikawa iteration process to construct an approximate fixed point sequence of an evolution family of nonlinear mapping.

中文翻译：

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度量空间上进化族的近似不动点序列

在本文中，我们研究了进化家族的近似不动点序列。一个家庭 有界非线性算子在度量空间上的作用 据说是一个进化家族，如果 和 为了所有。我们证明了公共的近似不动点序列等于族中两个算子的近似不动点序列的交集。此外，我们应用Ishikawa迭代过程来构造非线性映射演化族的近似不动点序列。