ADDITIVE (α, β)-FUNCTIONAL EQUATIONS AND LINEAR MAPPINGS

被引：0
作者：
Park, Choonkil [1 ]
机构：
[1] Hanyang Univ, Res Inst Nat Sci, Dept Dept, Seoul 04763, South Korea
来源：
MISKOLC MATHEMATICAL NOTES | 2018年 / 19卷 / 02期
基金：
新加坡国家研究基金会;
关键词：
Hyers-Ulam stability; additive; (alpha; beta)-functional equation; C-linear mapping; fixed point method; direct method; CAUCHY FUNCTIONAL-EQUATION; ULAM-RASSIAS STABILITY;
D O I：
10.18514/MMN.2018.2239
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the additive (alpha, beta)-functional equation f(x) + (alpha) over barf(alpha y) + f(z) = beta(-1)f(beta(x + y + z)) for all complex numbers alpha with vertical bar alpha vertical bar = 1 and for a fixed nonzero complex number beta. Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of the additive (alpha, beta)-functional equation (alpha, beta) in complex Banach spaces.
引用
收藏
页码：1107 / 1115
页数：9
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