Stability of Cauchy-Jensen Type Functional Equation in (2, α)–Banach Spaces

In this paper, we investigate some stability and hyperstability results for the following Cauchy-Jensen functional equation fx+y 2+fx−y 2=f(x) in (2,α)-Banach spaces using Brzd¸ek and Ciepliński’s fixed point approach.

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Bibliographic Details
Published inKragujevac Journal of Mathematics Vol. 46; no. 6; pp. 905 - 917
Main Authors SAYAR, KHALED YAHYA NAIF, BERGAM, AMAL
Format Journal Article
LanguageEnglish
Published 01.12.2022
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Summary:In this paper, we investigate some stability and hyperstability results for the following Cauchy-Jensen functional equation fx+y 2+fx−y 2=f(x) in (2,α)-Banach spaces using Brzd¸ek and Ciepliński’s fixed point approach.
ISSN:1450-9628
2406-3045
DOI:10.46793/KgJMat2206.905S