Satbility of Ternary Homomorphisms via Generalized Jensen Equation

Abstract

In this paper, we establish the generalized Hyers--Ulam--Rassias stability of homomorphisms between ternary algebras associted to the generalized Jensen functional equation $rf(\frac{sx+ty}{r})=sf(x)+tf(y)$.

12 pages

References in corpus (3)

• Universal differential calculus on ternary algebras
• Approximately Vanishing of Topological Cohomology Groups
• Stability of Generalized Jensen Equation on Restricted Domains

Cited by in corpus (4)

• Stability of Generalized Jensen Equation on Restricted Domains
• Stability of ternary Jordan homomorphisms and derivations associated to the generalized Jensen equation
• Jordan derivations on $C^{\ast }$-ternary algebras for a Cauchy-Jensen functional equation
• Approximate $C^{\ast }$-Ternary Ring Homomorphisms