A fixed point approach to stability of the quartic equation in 2-Banach spaces

Muaadh Almahalebi, Samir Kabbaj

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.

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How to Cite this Article

Muaadh Almahalebi, Samir Kabbaj, A fixed point approach to stability of the quartic equation in 2-Banach spaces, J. Math. Comput. Sci., 3 (2013), 972-984

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.