In this paper, fixed point results for a newly introduced Geraghty quasi-contraction type mappings are proved in more general metric spaces called T-orbitally complete dislocated quasi-metric spaces. Geraghty quasi-contraction type mappings generalize, among others, Ciric’s quasi-contraction mappings and other Geraghty quasi-contractive type mappings in the literature. Fixed point results are obtained without imposing a continuity condition on the mapping, thereby further generalizing some other related work in the literature. An example is given to show the validity of results obtained.

中文翻译：

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错位准度量空间中Geraghty拟压缩类型映射的不动点结果

在本文中，在更一般的度量空间（称为T轨道完全错位的拟度量空间）中证明了新引入的Geraghty拟压缩类型映射的不动点结果。在文献中，Geraghty拟收缩类型映射概括了Ciric的拟收缩映射和其他Geraghty拟收缩类型映射。在不将连续性条件强加于映射的情况下获得定点结果，从而进一步概括了文献中的其他一些相关工作。给出一个例子来说明所获得结果的有效性。