Superstability of Generalized Derivations

被引：3

作者：

Ansari-Piri, Esmaeil ^{[1
]}

Anjidani, Ehsan ^{[1
]}

机构：

[1] Univ Guilan, Dept Math, Rasht, Iran

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2010年

关键词：

HYERS-ULAM STABILITY; FUNCTIONAL-EQUATIONS; ALGEBRAS;

D O I：

10.1155/2010/740156

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the superstability of the functional equation f(xy) = xf(y) + g(x)y, where f and g are the mappings on Banach algebra A. We have also proved the superstability of generalized derivations associated to the linear functional equation f(gamma x + beta y) = gamma f(x) + beta f(y), where gamma, beta is an element of C.

引用

页数：13

共 26 条

[1] Some results on stability of extended derivations
Amyari, M.
Rahbarnia, F.
Sadeghi, Gh.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 329 (02) : 753 - 758
[2] [Anonymous], 1964, PROBLEMS MODERN MATH
[3] [Anonymous], 2008, TAMSUI OXF J MATH SC
[4] [Anonymous], 1998, Stability of Functional Equations in Several Variables
[5] Aoki T., 1950, J. Math. Soc. Japan, V2, P64
[6] On approximate derivations
Badora, R
[J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2006, 9 (01): : 167 - 173
[7] APPROXIMATELY ISOMETRIC AND MULTIPLICATIVE TRANSFORMATIONS ON CONTINUOUS FUNCTION RINGS
BOURGIN, DG
[J]. DUKE MATHEMATICAL JOURNAL, 1949, 16 (02) : 385 - 397
[8] A note on stability of the general linear equation
Brzdek, Janusz
Pietrzyk, Andrzej
[J]. AEQUATIONES MATHEMATICAE, 2008, 75 (03) : 267 - 270
[9] Superstability for Generalized Module Left Derivations and Generalized Module Derivations on a Banach Module (I)
Cao, Huai-Xin
Lv, Ji-Rong
Rassias, J. M.
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2009,
[10] Czerwik S, 2003, STABILITY FUNCTIONAL

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