Generalized stability of multi-additive mappings

被引：86

作者：

Cieplinski, Krzysztof ^{[1
]}

机构：

[1] Pedag Univ, Inst Math, PL-30084 Krakow, Poland

来源：

APPLIED MATHEMATICS LETTERS | 2010年 / 23卷 / 10期

关键词：

Stability; Multi-additive mapping; ULAM-RASSIAS STABILITY; FUNCTIONAL-EQUATION; NORMED SPACES;

D O I：

10.1016/j.aml.2010.06.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we unify the system of Cauchy functional equations defining multi-additive mapping to obtain a single equation and prove the generalized Hyers-Ulam stability both of this system and this equation using the so-called direct method. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：1291 / 1294

页数：4

共 24 条

[1]

Albert M, 1983, ANN POL MATH, V43, P93, DOI DOI 10.4064/ap-43-1-93-103

[2]

[Anonymous], 2009, CAUCHYS EQUATION JEN

[3]

Aoki T., 1950, J. Math. Soc. Japan, V2, P64

[4]

BADORA R, 1997, INT SER NUMER MATH, V123, P219