Acta Applicandae Mathematicae, ( ISI ), No (100), Year (2008-2) , Pages (187-199)

Title : ( Ternary Derivations, Stability and Physical Aspects )

Authors: Mohammad Sal Moslehian ,

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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.

Keywords

, Generalized Hyers–Ulam–Rassias stability · Superstability · Ternary algebra · Tri, module · Ternary derivation · Generalized Jensen functional equation
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@article{paperid:1007163,
author = {Sal Moslehian, Mohammad},
title = {Ternary Derivations, Stability and Physical Aspects},
journal = {Acta Applicandae Mathematicae},
year = {2008},
number = {100},
month = {February},
issn = {0167-8019},
pages = {187--199},
numpages = {12},
keywords = {Generalized Hyers–Ulam–Rassias stability · Superstability · Ternary algebra · Tri-module · Ternary derivation · Generalized Jensen functional equation},
}

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%0 Journal Article
%T Ternary Derivations, Stability and Physical Aspects
%A Sal Moslehian, Mohammad
%J Acta Applicandae Mathematicae
%@ 0167-8019
%D 2008

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