A Fixed Point Approach to Stability of k-th Radical Functional Equation in Non-Archimedean (n, β)-Banach Spaces

被引：0

作者：

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

Elqorachi, Elhoucien ^{[2
]}

Khodaei, Hamid ^{[3
]}

机构：

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

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

[3] Malayer Univ, Fac Math Sci & Stat, POB 65719-95863, Malayer, Iran

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2021年 / 47卷 / 02期

关键词：

Fixed point theorem; Functional equation; Stability; Non-Archimedean; (n; beta)-normed spaces; ULAM-RASSIAS STABILITY; HYPERSTABILITY; MAPPINGS;

D O I：

10.1007/s41980-020-00394-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we prove a simple fixed point theorem in non-Archimedean (n,beta)\-Banach spaces, by applying this fixed point theorem, we will study the stability and the hyperstability of the kth radical-type functional equation: where f is a mapping on the set of real numbers and k is a fixed positive integer. Furthermore, we give some important consequences from our main results.

引用

页码：487 / 504

页数：18

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