arXiv · 0906.0617
Stability of the Jensen--type functional equation in ternary Banach algebras: An alternative fixed point approach
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 $$f(\frac{x+y+z}{3})+f(\frac{x-2y+z}{3})+f(\frac{x+y-2z}{3})= f(x).$$
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A. Ebadian, Sh. Najafzadeh. 2009-12-20. Stability of the Jensen--type functional equation in ternary Banach algebras: An alternative fixed point approach. https://arxiv.org/abs/0906.0617
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