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arXiv · 1506.06521

On the stability of a generalized additive functional equation

Maysam Maysami Sadr
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Abstract

We consider Hyers-Ulam stability of a functional equation for continuous functions on a space on which a topological group acts, analogous to the additive functional equation on a group. We show, among other things, that our generalized additive equation, for continuous functions on a homogenous space of a strongly amenable topological group, is stable provided that the canonical projection from that group to its homogenous space is a fiber bundle.

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Maysam Maysami Sadr. 2015-07-20. On the stability of a generalized additive functional equation. https://doi.org/10.1007/s00010-015-0370-2

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