Fixed points and the stability of the linear functional equations in a single variable
Functional Analysis
2022-05-11 v1
Abstract
We prove that an interesting result concerning generalized Hyers-Ulam-Rassias stability of a linear functional equation obtained in 2014 by S.M. Jung, D. Popa and M.T. Rassias in Journal of Global Optimization is a particular case of a fixed point theorem given by us in 2012. Moreover, we give a characterization of functions that can be approximated with a given error, by the solution of the previously mention linear equation.
Cite
@article{arxiv.2205.04784,
title = {Fixed points and the stability of the linear functional equations in a single variable},
author = {Liviu Cadariu and Laura Manolescu},
journal= {arXiv preprint arXiv:2205.04784},
year = {2022}
}
Comments
12 pages