Work

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

Year: 2023

Type: article

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.

Source: Mathematics

DOI: 10.3390/math11214445

Authors: Basit Ali, Hammad Ali, Talat Nazir, Zakaria Ali

Institutions: University of Management and Technology, University of South Africa

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,336

OpenAlex ID: W4387971098

FWCI: 2.86

Cites: 15

Cited by: 8

Related to: 10