Stability of Functional Equations in Dislocated Quasi-Metric Spaces

• Autorzy: Beata Hejmej
• Języki publikacji: EN

Abstrakty

EN

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. (original abstract)

Słowa kluczowe

EN

Mathematics; Functional analysis; Linear equation; Functional equation

PL

Matematyka; Analiza funkcjonalna; Równania liniowe; Równanie funkcyjne

• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2018
• Tom: 32
• Strony: 215--225

Twórcy

autor

Beata Hejmej

• Pedagogical University of Cracow, Poland

Bibliografia

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Identyfikatory

DOI

10.2478/amsil-2018-0005