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

被引：11
作者：
Gordji, M. Eshaghi [1 ]
Khodaei, H. [2 ]
Ebadian, A. [3 ]
Kim, G. H. [4 ]
机构：
[1] Semnan Univ, Dept Math, Semnan, Iran
[2] Semnan Univ, CENAA, Semnan, Iran
[3] Payame Noor Univ, Dept Math, Tehran, Iran
[4] Kangnam Univ, Dept Math, Yongin 446702, Gyeonggi, South Korea
来源：
ABSTRACT AND APPLIED ANALYSIS | 2012年
关键词：
APPROXIMATELY LINEAR MAPPINGS; HYERS-ULAM STABILITY; BETA-NORMED SPACES; 2-BANACH SPACES; ADDITIVE MAPPINGS;
D O I：
10.1155/2012/896032
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish some stability results in 2-normed spaces for the radical quadratic functional equation f(root Sigma(n)(i=1)(x(i) + y(i))(2) + f(root Sigma(n)(i=1)(x(i) - y(i))(2) = 2 Sigma(n)(i=1) (f(x(i)) + f(y(i))) and then use subadditive functions to prove its stability in p-2-normed spaces.
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页数：10
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