Acta Applicandae Mathematicae

, Volume 100, Issue 2, pp 187–199

Ternary Derivations, Stability and Physical Aspects

Article

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

Abstract

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.

Keywords

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

Mathematics Subject Classification (2000)

39B839B5217A4017A3646H2581T60

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