The fixed point theory has applications in various fields of science and engineering. In this paper, we introduce the concept of fixed points in the framework of rough set theory and discuss its application in the contraction of digital images. We scrutinize a rough semi-linear uniform space and prove a fixed point theorem for a rough semi-linear uniform space.

中文翻译：

---

粗糙半线性一致空间中的不动点定理

定点理论在科学和工程的各个领域都有应用。在本文中，我们在粗糙集理论的框架内介绍了不动点的概念，并讨论了不动点在数字图像压缩中的应用。我们检查一个粗糙的半线性均匀空间，并证明一个粗糙的半线性均匀空间的不动点定理。