On the Stability of Quadratic Double Centralizers and Quadratic Multipliers: A Fixed Point Approach
1 Department of Mathematics, Garmsar Branch, Islamic Azad University, Garmsar, Iran
2 Laboratory of Theoretical Studies, Institute for Mathematical Research, University Putra Malaysia UPM, 43400 Serdang, Selangor Darul Ehsan, Malaysia
3 Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran
Journal of Inequalities and Applications 2011, 2011:957541 doi:10.1155/2011/957541Published: 8 February 2011
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.