The aim of this paper is to obtain a general result for existence of common fixed points for a sequence of multi-valued mappings on a K-quasimetric space endowed with a graph. This will enable us to present a simultaneous generalization of various types of fixed point theorems in the literature. In particular, we show that some fixed point theorems in metric spaces can be generalized to 2-quasimetric spaces.. We also provided an example to show that our results are genuine generalization of some old results.

中文翻译：

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一系列多值映射的广义收缩

本文的目的是获得在赋有图的K-拟空间上一系列多值映射有公共不动点的一般结果。这将使我们能够在文献中同时介绍各种类型的不动点定理。特别是，我们证明了度量空间中的一些不动点定理可以推广到2-拟度量空间。我们还提供了一个例子来说明我们的结果是对某些旧结果的真正推广。