Stability of the Jensen--type functional equation in ternary Banach algebras: An alternative fixed point approach

2009/06/02 by Ebadian, A., Najafzadeh, Sh.
#17A40 (Secondary) #39B52 (Primary) #39B82 #46B99 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.0906.0617

Abstract

Using fixed point methods, we prove the generalized Hyers--Ulam--Rassias stability of ternary homomorphisms, and ternary multipliers in ternary Banach algebras for the Jensen--type functional equation f((x+y+z)/(3))+f((x-2y+z)/(3))+f((x+y-2z)/(3))= f(x).

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