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

页码：1309 / 1324

页数：16

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