Abstract
In this work the Hyers--Ulam type stability of the functional equation $f(x+y+xy)=f(x)+f(y+xy)$ is proved.
Citation
Abbas Najati. Themistocles M. Rassias. "On the Stability of a Functional Equation in Topological Vector Spaces." Commun. Math. Anal. 10 (2) 18 - 23, 2011.
Information
Published: 2011
First available in Project Euclid: 28 November 2011
zbMATH: 1235.39029
MathSciNet: MR2859849
Subjects:
Primary:
39B82
Keywords:
additive mapping
,
Hausdorff topological space
,
Hyers--Ulam stability
,
sequentially complete space
,
topological vector space
Rights: Copyright © 2011 Mathematical Research Publishers
