A fixed point approach to orthogonal stability of an additive-quadratic functional equation

Muaadh Almahalebi, Samir Kabbaj

Abstract

Using the fixed point method, we prove the Hyers-Ulam stabilityof the following orthogonally additive-quadratic functional equation

f(x+ay) =f(x) +a^{2}f(y)- (a^{2}- a)^{2}(f(x+y)- f(x- y))

where a \in N-{0,1}  in orthogonality spaces.

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How to Cite this Article

Muaadh Almahalebi, Samir Kabbaj, A fixed point approach to orthogonal stability of an additive-quadratic functional equation, Adv. Fixed Point Theory, 3 (2013), 464-475

Copyright © 2013 Muaadh Almahalebi, Samir Kabbaj. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.