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

共 50 条

[21] HYPERSTABILITY RESULTS FOR THE GENERAL LINEAR FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN 2-BANACH SPACES
Shuja, Shujauddin
Embong, Ahmad Fadillah
Ali, Nor Muhainiah Mohd
JOURNAL OF QUALITY MEASUREMENT AND ANALYSIS, 2024, 20 (02): : 35 - 48
[22] Functional inequalities in non-Archimedean Banach spaces
Cho, Yeol Je
Park, Choonkil
Saadati, Reza
APPLIED MATHEMATICS LETTERS, 2010, 23 (10) : 1238 - 1242
[23] Hyperstability results for a generalized radical cubic functional equation related to additive mapping in non-Archimedean Banach spaces
Almahalebi, Muaadh
Charifi, Ahmed
Park, Choonkil
Kabbaj, Samir
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2018, 20 (01)
[24] Stability of Frechet functional equation in non-Archimedean normed spaces
Mirmostafaee, Alireza Kamel
MATHEMATICAL COMMUNICATIONS, 2012, 17 (02) : 511 - 524
[25] Non-Archimedean stability of an AQQ functional equation
Azadi-Kenary, Hassan
Lee, Jung Rye
Park, Choonkil
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2012, 14 (02) : 211 - 227
[26] Stability of a mixed type additive and quadratic functional equation in non-Archimedean spaces
Gordji, M. Eshaghi
Savadkouhi, M. Bavand
Bidkham, M.
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2010, 12 (02) : 454 - 462
[27] On the Brzdȩk’s fixed point approach to stability of a Drygas functional equation in 2-Banach spaces
Ahmed Nuino
Journal of Fixed Point Theory and Applications, 2021, 23
[28] Lattictic non-archimedean random stability of ACQ functional equation
Cho, Yeol Je
Saadati, Reza
ADVANCES IN DIFFERENCE EQUATIONS, 2011,
[29] A Fixed Point Approach to Superstability of Generalized Derivations on Non-Archimedean Banach Algebras
Gordji, M. Eshaghi
Ghaemi, M. B.
Alizadeh, Badrkhan
ABSTRACT AND APPLIED ANALYSIS, 2011,
[30] On Ulam Stability of Functional Equations in Non-Archimedean Spaces
Cieplinski, Krzysztof
SYMMETRY-BASEL, 2025, 17 (01):

← 1 2 3 4 5 →