A fixed point approach to stability of the quartic equation in 2-Banach spaces
Abstract
In this paper, we prove the generalized Hyers-Ulam-Rassias stability of the quartic functional equation
f(2x+y) +f(2x y) = 4f(x+y) + 4f(x- y) + 24f(x) - 6f(y)
by using the direct method and the fixed point method in 2-Banach spaces.
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 stability of the quartic equation in 2-Banach spaces, J. Math. Comput. Sci. 3 (2013), 972–984.
BibTeX
@article{Almahalebi2013,
author = {Almahalebi, Muaadh and Kabbaj, Samir},
title = {A fixed point approach to stability of the quartic equation in 2-Banach spaces},
journal = {J. Math. Comput. Sci.},
volume = {3},
year = {2013},
pages = {972--984},
doi = {}
}