中文摘要：

在偏序完备偏度量空间中研究了四个映射的公共不动点问题，对满足某种带有理分式项的广义弱压缩条件的四个映射得到了一些公共不动点结果．证明了公共不动点唯一的一个充分条件，并给出一个例子予以说明．最后讨论了在同伦问题中的一个应用。

英文摘要：

In this paper, some common fixed point results for four mappings satisfying gen- eralized weakly contractive conditions witha rational type expression are obtained in partially ordered complete partial metric spaces. A sufficient condition for the uniqueness of common fixed point is proved, an examples are given to support our results, and also, a homotopy result, as an application, is discussed.