In this note, we study the Ulam stability of a functional equation both in Banach and m-Banach spaces. Particular cases of this equation are, among others, equations which characterize multi-additive and multi-Jensen functions. Moreover, it is satisfied by the so-called multi-linear mappings.

中文翻译：

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关于函数方程的乌兰稳定性

在本笔记中，我们研究了 Banach 和 m-Banach 空间中泛函方程的 Ulam 稳定性。该方程的特殊情况包括表征多重可加函数和多重 Jensen 函数的方程。此外，它满足所谓的多重线性映射。