Measure zero stability problem of a generalized quadratic functional equation

被引：0

作者：

EL-Fassi, Iz-iddine ^{[1
]}

Kabbaj, Samir ^{[2
]}

Chahbi, Abdellatif ^{[3
]}

机构：

[1] Sidi Mohamed Ben Abdellah Univ, Fac Sci & Tech, Dept Math, BP 2202, Fes, Morocco

[2] Ibn Tofail Univ, Fac Sci, Dept Math, BP 133, Kenitra, Morocco

[3] Ibn Zohr Univ, Fac Sci, Dept Math, Agadir, Morocco

来源：

SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES | 2020年 / 14卷 / 01期

关键词：

Generalized quadratic functional equation; Hyers-Ulam stability; First category Lebesgue measure; Baire category theorem; ULAM STABILITY; MAPPINGS; SET;

D O I：

10.1007/s40863-019-00157-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X be a normed space, Y be a Banach space and f, g : X -> Y. In this paper, we investigate the Hyers-Ulam stability theorem for the generalized quadratic functional equation f(kx + y) + f(kx - y) = 2k(2)g(x) + 2 f (y) in a set Omega subset of X x X, where k is a positive integer. By the Baire category theorem, we derive some consequences of our main result.

引用

页码：301 / 311

页数：11

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