Fixed point theorems for self and non-self F-contractions in metric spaces endowed with a graph

被引:0
作者
Awais Younus
Muhammad Umer Azam
Muhammad Asif
机构
[1] CASPAM,
[2] Bahauddin Zakariya University,undefined
关键词
Fixed point; F-contraction; Non-self G F-contraction; Directed graph; G F-contraction; Non-self mapping; Rothe’s boundary condition; 47H10; 54H25; 47J26; 54E50; 05C40;
D O I
10.1186/s42787-020-00100-9
中图分类号
学科分类号
摘要
The main results obtained in this paper are fixed point theorems for self and non-self GF-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.
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