Existence of Fixed Points of Suzuki-Type Contractions of Quasi-Metric Spaces.
- Resource Type
- Article
- Authors
- Ali, Basit; Ali, Hammad; Nazir, Talat; Ali, Zakaria
- Source
- Mathematics (2227-7390). Nov2023, Vol. 11 Issue 21, p4445. 13p.
- Subject
- *QUASI-metric spaces
*CONTRACTIONS (Topology)
- Language
- ISSN
- 2227-7390
In order to generalize classical Banach contraction principle in the setup of quasi-metric spaces, we introduce Suzuki-type contractions of quasi-metric spaces and prove some fixed point results. Further, we suggest a correction in the definition of another class of quasi-metrics known as Δ -symmetric quasi-metrics satisfying a weighted symmetry property. We discuss equivalence of various types of completeness of Δ -symmetric quasi-metric spaces. At the end, we consider the existence of fixed points of generalized Suzuki-type contractions of Δ -symmetric quasi-metric spaces. Some examples have been furnished to make sure that generalizations we obtain are the proper ones. [ABSTRACT FROM AUTHOR]