On the stability of quadratic double centralizers and quadratic multipliers: a fixed point approach (Q535560)

In this paper, using fixed point methods, the authors established the superstability of quadratic double centralizers and quadratic multipliers on Banach algebras. The results proved in this paper improve the earlier results established by \textit{M. Eshaghi Gordji} and \textit{A. Bodaghi} [J. Comput. Anal. Appl. 13, No. 4, 724--729 (2011; Zbl 1219.39015)] on quadratic double centralizers on Banach algebras by removing the conditions of weakly commutative and weakly without order.