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Fixed point theorems for self and non-self F-contractions in metric spaces endowed with a graph
Journal of the Egyptian Mathematical Society Pub Date : 2020-09-01 , DOI: 10.1186/s42787-020-00100-9
Awais Younus , Muhammad Umer Azam , Muhammad Asif

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:

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。
更新日期:2020-09-01
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