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 $$f(\frac{x+y+z}{3})+f(\frac{x-2y+z}{3})+f(\frac{x+y-2z}{3})=f(x).$$

10 pages

References in corpus (3)

• On Foundation of the Generalized Nambu Mechanics
• Hypersymmetry: a Z_3-graded generalization of supersymmetry
• Universal differential calculus on ternary algebras