准规范空间中加法函数方程的不稳定性与稳定性

IF 0.7 Q2 MATHEMATICS

International Journal of Analysis and Applications Pub Date : 2024-01-03 DOI:10.28924/2291-8639-22-2024-3

S. Karthikeyan, J. Venkatesan, N. Vijaya, G. Chitra, G. Ganapathy

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引用次数: 0

摘要

在本文中，我们利用直接法和定点法求解了向量空间中的一般解，并证明了准规范空间中下列加法函数方程的 Hyers-Ulam 稳定性。此外，我们还提出了其不稳定性的相关反例。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Instabilities and Stabilities of Additive Functional Equation in Paranormed Spaces

In this paper, we solve the general solution in vector space and prove the Hyers-Ulam stability of the following additive functional equationin paranormed spaces by using the direct and fixed point methods. Also we present its pertinent counter examples for instabilities.

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来源期刊

International Journal of Analysis and Applications MATHEMATICS-

CiteScore

1.30

自引率

10.00%

发文量

审稿时长

12 weeks