Stability of functional equations in dislocated quasi-metric spaces
Journal Title: Annales Mathematicae Silesianae - Year 2018, Vol 32, Issue
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 quasi-metric space. In this way we generalize some earlier results proved for classical complete metric spaces.
Authors and Affiliations
Beata Hejmej
Keywords
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- EP ID EP524810
- DOI 10.2478/amsil-2018-0005
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