Asymptotic Stability of the Pexider-Cauchy Functional Equation in Non-Archimedean Spaces

被引：2

作者：

Gharib, Hamid ^{[1
]}

Moghimi, Mohammad B. ^{[1
]}

Najati, Abbas ^{[1
]}

Bae, Jae-Hyeong ^{[2
]}

机构：

[1] Univ Mohaghegh Ardabili, Dept Math, Fac Sci, Ardebil 5619911367, Iran

[2] Kyung Hee Univ, Humanitas Coll, Yongin 17104, South Korea

来源：

MATHEMATICS | 2021年 / 9卷 / 18期

关键词：

non-Archimedean space; Pexider-Cauchy equation; asymptotic stability;

D O I：

10.3390/math9182197

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigated the asymptotic stability behaviour of the Pexider-Cauchy functional equation in non-Archimedean spaces. We also showed that, under some conditions, if parallel to f (x + y) - g(x) - h(y)parallel to <= epsilon, then f, g and h can be approximated by additive mapping in non-Archimedean normed spaces. Finally, we deal with a functional inequality and its asymptotic behaviour.

引用

页数：12

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