THE STABILITY OF ADDITIVE (α, β)-FUNCTIONAL EQUATIONS

被引：2
|
作者：
Lu, Ziying [1 ]
Lu, Gang [1 ]
Jin, Yuanfeng [2 ]
Park, Choonkil [3 ]
机构：
[1] ShenYang Univ Technol, Sch Sci, Dept Math, Shenyang 110870, Liaoning, Peoples R China
[2] Yanbian Univ, Dept Math, Yanji 133001, Peoples R China
[3] Hanyang Univ, Res Inst Nat Sci, Seoul 04763, South Korea
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2019年 / 9卷 / 06期
关键词：
Hyers-Ulam stability; additive; (alpha; beta)-functional equation; fixed point method; direct method; non-Archimedean Banach space; FUNCTIONAL-EQUATION;
D O I：
10.11948/20190075
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the following (alpha, beta)-functional equations 2f(x) + 2f(z) = f(x - y) + alpha(-1)f(alpha(x + z)) + beta(-1)f(beta(y + z)), (0.1) 2f(x) + 2f(y) = f(x + y) + alpha(-1)f(alpha(x + z)) + beta(-1)f(beta(y - z)), (0.2) where alpha, beta are fixed nonzero real numbers with alpha(-1) + beta(-1) not equal 3. Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of the (alpha, beta)-functional equations (0.1) and (0.2) in non-Archimedean Banach spaces.
引用
收藏
页码：2295 / 2307
页数：13
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