Next Article in Journal
On the Generalized Distance Energy of Graphs
Next Article in Special Issue
A Novel Delay-Dependent Asymptotic Stability Conditions for Differential and Riemann-Liouville Fractional Differential Neutral Systems with Constant Delays and Nonlinear Perturbation
Previous Article in Journal
Projection Decoding of Some Binary Optimal Linear Codes of Lengths 36 and 40
Previous Article in Special Issue
Ample Spectrum Contractions and Related Fixed Point Theorems
Open AccessArticle

A Characterization of Quasi-Metric Completeness in Terms of αψ-Contractive Mappings Having Fixed Points

Instituto Universitario de Matemática Pura y Aplicada-IUMPA, Universitat Politècnica de València, 46022 Valencia, Spain
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(1), 16; https://doi.org/10.3390/math8010016
Received: 2 December 2019 / Revised: 16 December 2019 / Accepted: 17 December 2019 / Published: 19 December 2019
(This article belongs to the Special Issue Recent Advances on Quasi-Metric Spaces)
We obtain a characterization of Hausdorff left K-complete quasi-metric spaces by means of α ψ -contractive mappings, from which we deduce the somewhat surprising fact that one the main fixed point theorems of Samet, Vetro, and Vetro (see “Fixed point theorems for α ψ -contractive type mappings”, Nonlinear Anal. 2012, 75, 2154–2165), characterizes the metric completeness. View Full-Text
Keywords: fixed point; quasi-metric space; left K-complete; αψ-contractive mapping fixed point; quasi-metric space; left K-complete; αψ-contractive mapping
MDPI and ACS Style

Romaguera, S.; Tirado, P. A Characterization of Quasi-Metric Completeness in Terms of αψ-Contractive Mappings Having Fixed Points. Mathematics 2020, 8, 16.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop