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

Authors

CASPAM, Bahauddin Zakariya University, Multan, Pakistan

https://doi.org/10.1186/s42787-020-00100-9

Abstract

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.

Keywords