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

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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Veröffentlicht in:Abstract and Applied Analysis 2012-01, Vol.2012 (2012), p.401-410-727
Hauptverfasser: Gordji, Madjid Eshaghi, Khodaei, H., Ebadian, A., Kim, Gwang Hui
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Banach spaces
Inequality
Mathematical analysis
Radicals
Stability
Studies
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Zusammenfassung: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.
ISSN:1085-3375
1687-0409
DOI:10.1155/2012/896032