Generalized hyperstability of the Jensen functional equation in ultrametric spaces (Q1651990)
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scientific article; zbMATH DE number 6901244
| Language | Label | Description | Also known as |
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| English | Generalized hyperstability of the Jensen functional equation in ultrametric spaces |
scientific article; zbMATH DE number 6901244 |
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Generalized hyperstability of the Jensen functional equation in ultrametric spaces (English)
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11 July 2018
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The author investigates some generalized hyperstability results for the Jensen functional equation \[ 2f\left(\frac{x+y}{2}\right)=f(x)+f(y) \] in ultrametric Banach spaces using the fixed point method derived by \textit{A. Bahyrycz} and \textit{M. Piszczek} [Acta Math. Hung. 142, No. 2, 353--365 (2014; Zbl 1299.39022)] and \textit{J. Brzdęk} [Acta Math. Hung. 141, No. 1--2, 58--67 (2013; Zbl 1313.39037); Fixed Point Theory Appl. 2013, Paper No. 285, 9 p. (2013; Zbl 1297.39026)]. The author extends the results found by \textit{M. Almahalebi} and \textit{A. Chahbi} [Aequationes Math. 91, No. 4, 647--661 (2017; Zbl 1380.39025)].
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stability
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hyperstability
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ultrametric space
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fixed point method
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Jensen functional equation
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0.915728747844696
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0.882168710231781
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0.867392897605896
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0.8629257678985596
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