APPROXIMATION OF TWO GENERAL FUNCTIONAL EQUATIONS IN 2-BANACH SPACES

被引：3

作者：

Park, Choonkil ^{[1
]}

Najati, Abbas ^{[2
]}

Moghimi, Mohammad B. ^{[2
]}

Noori, Batool ^{[2
]}

机构：

[1] Hanyang Univ, Res Inst Nat Sci, Seoul 04763, South Korea

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

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2023年 / 17卷 / 01期

关键词：

Ulam stability; hyperstability; fixed point method; 2-Banach space; functional linear functional; MAPPINGS;

D O I：

10.7153/jmi-2023-17-11

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the Ulam stability and hyperstability of two general functional equations in several variables in 2-Banach spaces. Multi-additive and multi-Jensen functions are particular cases of these functional equations. We also improve the main results of Theorem 3 and Theorem 4 of [Cieplinski, K. Ulam stability of functional equations in 2-Banach spaces via the fixed point method. J. Fixed Point Theory Appl. 23 (2021), no. 3, Paper No. 33, 14 pp.] and their consequences.

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收藏

页码：153 / 162

页数：10

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