2-Banach空间中两个一般泛函方程的逼近

IF 1.1 3区数学 Q1 MATHEMATICS

Journal of Mathematical Inequalities Pub Date : 2023-01-01 DOI:10.7153/jmi-2023-17-11

Choonkill Park, A. Najati, M. B. Moghimi, B. Noori

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引用次数: 0

摘要

．本文研究了2-Banach空间中两个多变量泛函方程的Ulam稳定性和超稳定性。多加性和多延森函数是这些函数方程的特殊情况。利用不动点法改进了2-Banach空间中泛函方程稳定性[Ciepli ' nski, K. Ulam]定理3和定理4的主要结果。[j] .不动点理论应用，23 (2021)

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Approximation of two general functional equations in 2-Banach spaces

. 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 [Ciepli´nski, K. Ulam stability of functional equations in 2-Banach spaces via the ﬁ xed point method. J. Fixed Point Theory Appl. 23 (2021

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来源期刊

Journal of Mathematical Inequalities MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.90

自引率

3.40%

发文量

审稿时长

6-12 weeks

期刊介绍： The ''Journal of Mathematical Inequalities'' (''JMI'') presents carefully selected original research articles from all areas of pure and applied mathematics, provided they are concerned with mathematical inequalities and their numerous applications. ''JMI'' will also periodically publish invited survey articles and short notes with interesting results treating the theory of inequalities, as well as relevant book reviews. Only articles written in the English language and in a lucid, expository style will be considered for publication. ''JMI'' primary audience are pure mathematicians, applied mathemathicians and numerical analysts. ''JMI'' is published quarterly; in March, June, September, and December.