Approximate homomorphisms and derivations on random Banach algebras

Research

M Madadian¹, A Ebadian², M Eshaghi Gordji³^* and H Azadi Kenary⁴

¹ Department of Mathematics, Islamic Azad University, Tabriz Branch, Tabriz, Iran

² Department of Mathematics, Payame Noor University, Tehran, Iran

³ Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran

⁴ Department of Mathematics, Yasouj University, 75914-353, Yasouj, Iran

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Journal of Inequalities and Applications 2012, 2012:157 doi:10.1186/1029-242X-2012-157

Published: 5 July 2012

The motivation of this paper is to investigate the stability of homomorphisms and derivations on random Banach algebras.

MSC: 39B82, 39B52.

random normed algebra; generalized Hyers-Ulam stability; random homomorphism; random derivation; generalized additive functional equation