Ternary Derivations,Stability and Physical Aspects |
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Authors: | Mohammad Sal Moslehian |
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Institution: | (1) Department of Mathematics, Ferdowsi University, P.O. Box 1159, Mashhad, 91775, Iran;(2) Institute for Studies in Theoretical Physics and Mathematics (IPM), Tehran, Iran |
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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.
The author was in part supported by a grant from IPM (No. 85390031). |
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Keywords: | Generalized Hyers– Ulam– Rassias stability Superstability Ternary algebra Tri-module Ternary derivation Generalized Jensen functional equation |
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