Our purpose in this paper is (i) to introduce the concept of further generalized hybrid mappings, (ii) to introduce the concept of common attractive points (CAP), and (iii) to write and use Picard-Mann iterative process for two mappings. We approximate common attractive points of further generalized hybrid mappings by using iterative process due to Khan (Fixed Point Theory Appl. 2013:69, 2013, https://doi.org/10.1186/1687-1812-2013-69 ) generalized to the case of two mappings in Hilbert spaces without closedness assumption. Our results are generalizations and improvements of several results in the literature in different ways.

中文翻译：

---

进一步广义混合映射的公共吸引点的迭代逼近

本文的目的是（i）介绍进一步广义混合映射的概念，（ii）介绍公共吸引点（CAP）的概念，以及（iii）编写和使用Picard-Mann迭代过程进行两个映射。我们使用归因于Khan（固定点理论应用2013：69，2013，https://doi.org/10.1186/1687-1812-2013-69）的迭代过程来近似进一步推广混合映射的共同吸引点。没有封闭假设的情况下在希尔伯特空间中的两个映射的情况。我们的结果是对文献中几种结果以不同方式的概括和改进。