各种形式二次泛函方程的等价性及其广义Hyers-Ulam-Rassias稳定性

Int. J. Math. Math. Sci. Pub Date : 2023-03-30 DOI:10.1155/2023/1721273

Ravi Sharma, S. Chandok

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引用次数: 0

摘要

在本文中，我们研究了不同形式的二次泛函方程的性质和等价结果。利用Brzdȩk和Ciepliński不动点方法，研究了2-Banach空间下3变量二次泛函方程的广义Hyers-Ulam-Rassias稳定性。同时，我们也得到了3变量二次泛函方程的一些超稳定性结果。本文所得到的结果将文献中已知的几个结果推广到2-Banach空间的环境中。

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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Equivalence for Various Forms of Quadratic Functional Equations and Their Generalized Hyers-Ulam-Rassias Stability

In this manuscript, we study the properties and equivalence results for different forms of quadratic functional equations. Using the Brzdȩk and Ciepliński fixed-point approach, we investigate the generalized Hyers–Ulam–Rassias stability for the 3-variables quadratic functional equation in the setting of 2-Banach space. Also, we obtain some hyperstability results for the 3-variables quadratic functional equation. The results obtained in this paper extend several known results of the literature to the setting of 2-Banach space.

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Int. J. Math. Math. Sci.

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