Fixed point theorems for self and non-self F-contractions in metric spaces endowed with a graph | ||
Journal of the Egyptian Mathematical Society | ||
Volume 28, Issue 1, June 2020, Pages 1-10 PDF (508.27 K) | ||
DOI: 10.1186/s42787-020-00100-9 | ||
Authors | ||
Awais Younus; Muhammad Umer Azam; Muhammad Asif | ||
CASPAM, Bahauddin Zakariya University, Multan, Pakistan | ||
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; Rothe’s boundary condition | ||
Statistics Article View: 28 PDF Download: 16 |