Open Access
2007 On the stability of the quadratic functional equation in topological spaces
M. Adam, M. Czerwik
Banach J. Math. Anal. 1(2): 245-251 (2007). DOI: 10.15352/bjma/1240336223

Abstract

In this paper we investigate the problem of the Hyers-Ulam stability of the generalized quadratic functional equation $$f(x+y)+f(x-y)=g(x)+g(y),$$ where $f,g$ are functions defined on a group with values in a linear topological space.

Citation

Download Citation

M. Adam. M. Czerwik. "On the stability of the quadratic functional equation in topological spaces." Banach J. Math. Anal. 1 (2) 245 - 251, 2007. https://doi.org/10.15352/bjma/1240336223

Information

Published: 2007
First available in Project Euclid: 21 April 2009

zbMATH: 1130.39021
MathSciNet: MR2366108
Digital Object Identifier: 10.15352/bjma/1240336223

Subjects:
Primary: 39B82
Secondary: 54A20

Keywords: Hyers-Ulam-Rassias stability in topological spaces , quadratic functional equation

Rights: Copyright © 2007 Tusi Mathematical Research Group

Vol.1 • No. 2 • 2007
Back to Top