FUNCTIONAL EQUATIONS IN ORTHOGONALITY SPACES
Main Article Content
Abstract
Using fixed point method, we prove the Hyers-Ulam
stability of the orthogonally additive functional equation
$f (2x + y) = 2f (x) + f (y)$
and of the orthogonally quadratic functional equation
$2f(\frac{x}{2}+y)+2f(\frac{x}{2}-y)=f(x)+4f(y)$
for all x, y with x ⊥ y in orthogonality spaces.
Article Details
![Creative Commons License](http://i.creativecommons.org/l/by-nc/3.0/88x31.png)
This work is licensed under a Creative Commons Attribution-NonCommercial 3.0 Unported License.