Approximate additive-quadratic mappings and bi-Jensen mappings in 2-Banach spaces

In this paper, we obtain the stability of the additive-quadratic functional equation $$f(x+y,z+w)+f(x+y,z-w)=2f(x,z)+2f(x,w)+2f(y,z)+2f(y,w)$$ and the bi-Jensen functional equation $$4f\bigg(\frac{x+y}{2},\frac{z+w}{2}\bigg)=f(x,z)+f(x,w)+f(y,z)+f(y,w)$$ in $2$-Banach spaces. KCI Citation Count: 0

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Bibliographic Details
Published in충청수학회지, 30(4) pp. 467 - 476
Main Author 박원길
Format Journal Article
LanguageEnglish
Published 충청수학회 01.11.2017
Subjects
수학
Online AccessGet full text
ISSN1226-3524
2383-6245
DOI10.14403/jcms.2017.30.4.467

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Summary:In this paper, we obtain the stability of the additive-quadratic functional equation $$f(x+y,z+w)+f(x+y,z-w)=2f(x,z)+2f(x,w)+2f(y,z)+2f(y,w)$$ and the bi-Jensen functional equation $$4f\bigg(\frac{x+y}{2},\frac{z+w}{2}\bigg)=f(x,z)+f(x,w)+f(y,z)+f(y,w)$$ in $2$-Banach spaces. KCI Citation Count: 0
Bibliography:http://ccms.or.kr/data/pdfpaper/jcms30_4/30_4_467.pdf
ISSN:1226-3524
2383-6245
DOI:10.14403/jcms.2017.30.4.467