In this paper, we use Suzuki-type contraction to prove three fixed point theorems for generalized contractions in an ordered space equipped with two metrics; we obtain some generalizations of the Kannan fixed point theorem. Our results on partially ordered metric spaces generalize and extend some results of Ran and Reurings as well as of Nieto and Rodríguez-López. To illustrate the effectiveness of our main result, we give an application to matrix equations which involves monotone mappings.

中文翻译：

---

有序度量空间中的相关Suzuki型不动点定理

在本文中，我们使用Suzuki型收缩来证明在配备两个度量的有序空间中广义收缩的三个不动点定理。我们得到了Kannan不动点定理的一些推广。我们对部分有序度量空间的结果推广并扩展了Ran和Reurings以及Nieto和Rodríguez-López的一些结果。为了说明我们的主要结果的有效性，我们将其应用于涉及单调映射的矩阵方程。