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

Abstract

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

• Fixed point
• F-contraction
• Non-self G F-contraction
• Directed graph
• G F-contraction
• Non-self mapping