Abstract The aim of this paper is to establish some fixed point results for surrounding quasi-contractions in non-triangular metric spaces. Also, we prove the Banach principle of contraction in non-triangular metric spaces. As applications of our theorems, we deduce certain well-known results in b-metric spaces as corollaries.

中文翻译：

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关于非三角度量空间上的周围拟收缩

摘要 本文的目的是为非三角度量空间中的周围拟收缩建立一些不动点结果。此外，我们证明了非三角度量空间中的巴拿赫收缩原理。作为我们定理的应用，我们在 b 度量空间中推导出某些众所周知的结果作为推论。