On the stability of a generalized additive functional equation
Functional Analysis
2015-10-08 v2
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.
Cite
@article{arxiv.1506.06521,
title = {On the stability of a generalized additive functional equation},
author = {Maysam Maysami Sadr},
journal= {arXiv preprint arXiv:1506.06521},
year = {2015}
}