Nearly Radical Quadratic Functional Equations in p-2-Normed Spaces

We establish some stability results in 2-normed spaces for the radical quadratic functional equation f(∑i=1n(xi+yi)2)+f(∑i=1n(xi-yi)2)=2∑i=1n(f(xi)+f(yi)) and then use subadditive functions to prove its stability in p-2-normed spaces.

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Bibliographic Details
Published inAbstract and Applied Analysis Vol. 2012; no. 2012; pp. 401 - 410-727
Main Authors Gordji, Madjid Eshaghi, Khodaei, H., Ebadian, A., Kim, Gwang Hui
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Limiteds 01.01.2012
Hindawi Puplishing Corporation
Hindawi Publishing Corporation
Hindawi Limited
Wiley
Subjects
Algorithms
Banach spaces
Inequality
Mathematical analysis
Radicals
Stability
Studies
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Summary:We establish some stability results in 2-normed spaces for the radical quadratic functional equation f(∑i=1n(xi+yi)2)+f(∑i=1n(xi-yi)2)=2∑i=1n(f(xi)+f(yi)) and then use subadditive functions to prove its stability in p-2-normed spaces.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1085-3375
1687-0409
DOI:10.1155/2012/896032