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Advances in Fixed Point Theory ISSN 1927-6303 (Print)

Archives › Volume 3, Number 3 (2013)

Adv. Fixed Point Theory 3 (2013), 464–475

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

Muaadh Almahalebi, Samir Kabbaj

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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.

Published
26 September 2013
Volume
3 (2013)
License
CC BY 3.0

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.

Cite this article

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

BibTeX
@article{Almahalebi2013,
  author  = {Almahalebi, Muaadh and Kabbaj, Samir},
  title   = {A fixed point approach to  orthogonal stability of an additive-quadratic functional equation},
  journal = {Adv. Fixed Point Theory},
  volume  = {3},
  year    = {2013},
  pages   = {464--475},
  doi     = {}
}