Existence of Fixed Points of Suzuki-Type Contractions of Quasi-Metric Spaces

Basit Ali, Hammad Ali, Talat Nazir () and Zakaria Ali
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Basit Ali: Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan
Hammad Ali: Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan
Talat Nazir: Department of Mathematical Sciences, University of South Africa, Florida 0003, South Africa
Zakaria Ali: Department of Mathematical Sciences, University of South Africa, Florida 0003, South Africa

Mathematics, 2023, vol. 11, issue 21, 1-13

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.

Keywords: quasi-metric spaces; suzuki-type contractions; fixed points; ?-symmetric quasi-metric spaces (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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