In this paper, the fixed-point theorem for monotone contraction mappings in the setting of a uniformly convex smooth Banach space is studied. This paper provides a version of the Banach fixed-point theorem in a complete metric space.

中文翻译：

---

单调压缩映射定理

本文研究了均匀凸光滑Banach空间中单调压缩映射的不动点定理。本文提供了完整度量空间中Banach不动点定理的一种版本。