Approximations of ternary Jordan homomorphisms and derivations in multi-C* ternary algebras

Donal O'Regan; John Michael Rassias; Reza Saadati

doi:10.1007/s10474-011-0116-0

Approximations of ternary Jordan homomorphisms and derivations in multi-C^* ternary algebras

Donal O'Regan
, John Michael Rassias
, Reza Saadati

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

6 Citations (Scopus)

Abstract

Using fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in multi-C^* ternary algebras and of derivations on multi-C^* ternary algebras for the additive functional equation.

Original language	English
Pages (from-to)	99-114
Number of pages	16
Journal	Acta Mathematica Hungarica
Volume	134
Issue number	1-2
DOIs	https://doi.org/10.1007/s10474-011-0116-0
Publication status	Published - 1 Jan 2012

Keywords

additive functional equation
derivation on multi-C ternary algebra
fixed point
generalized Hyers-Ulam stability
homomorphism in multi-C ternary algebra
multi-normed space

Authors (Note for portal: view the doc link for the full list of authors)

Authors
O'Regan, D,Rassias, JM,Saadati, R

Access to Document

10.1007/s10474-011-0116-0

Cite this

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title = "Approximations of ternary Jordan homomorphisms and derivations in multi-C* ternary algebras",

abstract = "Using fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in multi-C* ternary algebras and of derivations on multi-C* ternary algebras for the additive functional equation.",

keywords = "additive functional equation, derivation on multi-C ternary algebra, fixed point, generalized Hyers-Ulam stability, homomorphism in multi-C ternary algebra, multi-normed space",

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AU - Saadati, Reza

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N2 - Using fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in multi-C* ternary algebras and of derivations on multi-C* ternary algebras for the additive functional equation.

AB - Using fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in multi-C* ternary algebras and of derivations on multi-C* ternary algebras for the additive functional equation.

KW - additive functional equation

KW - derivation on multi-C ternary algebra

KW - fixed point

KW - generalized Hyers-Ulam stability

KW - homomorphism in multi-C ternary algebra

KW - multi-normed space

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