STABILITY OF A MIXED ADDITIVE AND QUADRATIC FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN BANACH MODULES

被引：12
|
作者：
Eskandani, G. Zamani [1 ]
Vaezi, Hamid [1 ]
Dehghan, Y. N. [1 ]
机构：
[1] Univ Tabriz, Fac Sci, Dept Math, Tabriz, Iran
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2010年 / 14卷 / 04期
关键词：
Hyers-Ulam-Rassias stability; Additive mapping; Quadratic mapping; Banach modules; Non-Archimedean space; ULAM-RASSIAS STABILITY;
D O I：
10.11650/twjm/1500405948
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we establish the general solution of mixed additive and quadratic functional equation f(x + 2y) + f(x - 2y) + 8f(y) = 2f(x) + 4f(2y) and investigate the generalized Hyers-Ulam-Rassias stability of this equation in non-Archimedean Banach modules over a unital Banach algebra.
引用
收藏
页码：1309 / 1324
页数：16
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