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Homomorphisms and derivations in C*-ternary algebras via fixed point method

Authors
Kenari, H. M.Saadati, RezaPark, Choonkil
Issue Date
Aug-2012
Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
Keywords
C*-ternary algebra isomorphism; generalized Cauchy-Jensen functional equation; Hyers-Ulam stability; C*-ternary derivation; fixed-point method
Citation
ADVANCES IN DIFFERENCE EQUATIONS, pp.1 - 13
Indexed
SCIE
SCOPUS
Journal Title
ADVANCES IN DIFFERENCE EQUATIONS
Start Page
1
End Page
13
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/164957
DOI
10.1186/1687-1847-2012-137
ISSN
1687-1839
Abstract
Park (J. Math. Phys. 47: 103512, 2006) proved the Hyers-Ulam stability of homomorphisms in C*-ternary algebras and of derivations on C*-ternary algebras for the following generalized Cauchy-Jensen additive mapping: 2f(Sigma(p)(j=1) X-j/2 + Sigma(d)(j=1)y(j)) = Sigma(p)(j=1) f(x(j)) + 2 Sigma(d)(j=1) f(y(j)). In this paper, we improve and generalize some results concerning this functional equation via the fixed-point method.
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