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

来源：

Journal of the Egyptian Mathematical Society | / 28卷 / 1期

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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