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(∑𝑛𝑖=1(𝑥𝑖+𝑦𝑖)2)+𝑓(∑𝑛𝑖=1(𝑥𝑖−𝑦𝑖)2)=2∑𝑛𝑖=1(𝑓(𝑥𝑖)+𝑓(𝑦𝑖)) and then use subadditive functions to prove its stability in 𝑝-2-normed spaces....

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Bibliographic Details
Main Authors: M. Eshaghi Gordji, H. Khodaei, A. Ebadian, G. H. Kim
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/896032