Stability of Functional Equations in Dislocated Quasi-Metric Spaces

Beata Hejmej

doi:10.2478/amsil-2018-0005

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Stability of Functional Equations in Dislocated Quasi-Metric Spaces

Annales Mathematicae Silesianae

Volume 32 (2018): Issue 1 (September 2018)

By: Beata Hejmej

Open Access

|Aug 2018

Abstract

We present a result on the generalized Hyers-Ulam stability of a functional equation in a single variable for functions that have values in a complete dislocated quasi-metric space. Next, we show how to apply it to prove stability of the Cauchy functional equation and the linear functional equation in two variables, also for functions taking values in a complete dislocated quasimetric space. In this way we generalize some earlier results proved for classical complete metric spaces.

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Articles in this issue

DOI: https://doi.org/10.2478/amsil-2018-0005 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107

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Language: English

Page range: 215 - 225

Submitted on: Sep 30, 2017

Accepted on: Apr 11, 2018

Published on: Aug 24, 2018

Published by: University of Silesia in Katowice, Institute of Mathematics

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

stability of functional equations,

square symmetric groupoid,

dislocated quasi-metric space,

Related subjects:

© 2018 Beata Hejmej, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 32 (2018): Issue 1 (September 2018)