The main results obtained in this paper are fixed point theorems for self and non-self G F -contractions on metric spaces endowed with a graph. Our new results are generalization of recently fixed point theorems for self mappings on metric spaces and also fixed point theorems for non-self mappings in Banach spaces by using the concept of new type of contractive mappings namely F -contractions.

中文翻译：

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具有图的度量空间中自和非自 F 收缩的不动点定理

本文获得的主要结果是在赋有图的度量空间上的自和非自GF-收缩的不动点定理。我们的新结果是通过使用新型收缩映射即 F 收缩的概念，推广了最近用于度量空间上自映射的不动点定理和用于 Banach 空间中非自映射的不动点定理。