Journal of Inequalities and Applications
Volume 2011 (2011), Article ID 957541, 9 pages
On the Stability of Quadratic Double Centralizers and Quadratic Multipliers: A Fixed Point Approach
1Department of Mathematics, Garmsar Branch, Islamic Azad University, Garmsar, Iran
2Laboratory of Theoretical Studies, Institute for Mathematical Research, University Putra Malaysia UPM, 43400 Serdang, Selangor Darul Ehsan, Malaysia
3Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran
Received 3 December 2010; Revised 11 January 2011; Accepted 18 January 2011
Academic Editor: Michel Chipot
Copyright © 2011 Abasalt Bodaghi et al. 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.
We prove the superstability of quadratic double centralizers and of quadratic multipliers on Banach algebras by fixed point methods. These results show that we can remove the conditions of being weakly commutative and weakly without order which are used in the work of M. E. Gordji et al. (2011) for Banach algebras.