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- Title
Existence of Fixed Points of Suzuki-Type Contractions of Quasi-Metric Spaces.
- Authors
Ali, Basit; Ali, Hammad; Nazir, Talat; Ali, Zakaria
- Abstract
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.
- Subjects
QUASI-metric spaces; CONTRACTIONS (Topology)
- Publication
Mathematics (2227-7390), 2023, Vol 11, Issue 21, p4445
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math11214445