Acta Applicandae Mathematicae

, Volume 100, Issue 2, pp 187–199

Ternary Derivations, Stability and Physical Aspects


DOI: 10.1007/s10440-007-9179-x

Cite this article as:
Moslehian, M.S. Acta Appl Math (2008) 100: 187. doi:10.1007/s10440-007-9179-x


Ternary algebras and modules are vector spaces on which products of three factors are defined. In this paper, we present several physical applications of ternary structures. Some recent results on the stability of ternary derivations are reviewed. Using a fixed point method, we also establish the generalized Hyers–Ulam–Rassias stability of ternary derivations from a normed ternary algebra into a Banach tri-module associated to the generalized Jensen functional equations and prove a superstability result.


Generalized Hyers–Ulam–Rassias stabilitySuperstabilityTernary algebraTri-moduleTernary derivationGeneralized Jensen functional equation

Mathematics Subject Classification (2000)


Copyright information

© Springer Science+Business Media B.V. 2007

Authors and Affiliations

  1. 1.Department of MathematicsFerdowsi UniversityMashhadIran
  2. 2.Institute for Studies in Theoretical Physics and Mathematics (IPM)TehranIran