A note on asymptotically approximate generalized Lie derivations

被引：5

作者：

Brzdek, Janusz ^{[1
]}

Fosner, Ajda ^{[2
]}

Lesniak, Zbigniew ^{[3
]}

机构：

[1] AGH Univ Sci & Technol, Fac Appl Math, Mickiewicza 30, PL-30059 Krakow, Poland

[2] Pedag Univ, Dept Math, Podchorazych 2, PL-30084 Krakow, Poland

[3] Univ Primorska, Fac Management, Cankarjeva 5, Koper 6000, Slovenia

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2020年 / 22卷 / 02期

关键词：

Ulam stability; p-Wright affine function; Lie derivation; generalized Lie derivation; asymptotically and approximately; FIXED-POINT APPROACH; FUNCTIONAL-EQUATIONS; STABILITY;

D O I：

10.1007/s11784-020-00775-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate functions that satisfy the condition defining generalized Lie derivations only asymptotically approximately, in a neighbourhood of the origin in a Banach algebra. We show that, under suitable assumptions, they are close to generalized Lie derivations.

引用

页数：13

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