In this paper, we introduce the concept of new type of -contractive type for quasipartial b-metric spaces and some definitions and lemmas. Also, we will prove a new fixed-point theorem in quasipartial -metric spaces for -contractive type mappings. In addition, we give an application which illustrates a situation when Banach’s fixed-point theorem for complete quasipartial -metric spaces cannot be applied, while the conditions of our theorem are satisfying.

中文翻译：

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拟局部度量空间的新型压缩映射及其不动点定理的一些结果和应用

在本文中，我们介绍了拟偏b-度量空间的新型-压缩型的概念以及一些定义和引理。此外，我们将证明quasipartial一个新的不动点定理-度量空间的-压缩型映象。另外，我们给这说明当巴拿赫的完整quasipartial不动点定理的情况下的应用程序-不能用于度量空间，而我们的条件定理满足。