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.
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页码：487 / 504
页数：18
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