Abstract In the paper a general and compact fixed point theorem for dislocated (or partial) metric spaces is proved in a simple way. It appears that the reasoning is sufficiently general to spread over the well known (and complicated) classical results. In consequence, the extensions of some celebrated fixed point theorems are obtained, while their proofs are short and consistent, which is the main aim of the paper. The more sophisticated results are contained in sections devoted to cyclic mappings, common fixed points, and dislocated quasi-metric spaces. Maybe the most exciting result is presented in the final corollary; this effective criterion for Cauchy sequences can make the life of many analysts bearable.

中文翻译：

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强不动点定理

摘要 本文以简单的方式证明了一个用于错位（或部分）度量空间的一般紧致不动点定理。似乎推理足够普遍，可以扩展到众所周知的（和复杂的）经典结果。结果，得到了一些著名不动点定理的扩展，而它们的证明是简短且一致的，这是本文的主要目的。更复杂的结果包含在专门讨论循环映射、公共不动点和错位拟度量空间的部分中。也许最激动人心的结果出现在最后的推论中；柯西序列的这个有效标准可以让许多分析师的生活变得可以忍受。