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

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Ebadian, A.
Najafzadeh, Sh.
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Abstract
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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 $$f(\frac{x+y+z}{3})+f(\frac{x-2y+z}{3})+f(\frac{x+y-2z}{3})= f(x).$$
Comment: 10 pages
Keywords
Mathematics - Functional Analysis, 39B52 (Primary), 39B82, 46B99, 17A40 (Secondary)
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