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Ternary Jordan C*-homomorphisms and ternary Jordan C*-derivations for a generalized Cauchy-Jensen functional equation
- Issue Date
- Dec-2014
- Publisher
- Kluwer Academic Publishers
- Keywords
- Hyers-Ulam stability; C*-ternary algebra; Cauchy-Jensen functional equation; Ternary Jordan C*-homomorphism; Ternary Jordan C*-derivation.
- Citation
- Journal of Computational Analysis and Applications, v.17, no.4, pp 681 - 690
- Pages
- 10
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Computational Analysis and Applications
- Volume
- 17
- Number
- 4
- Start Page
- 681
- End Page
- 690
- ISSN
- 1521-1398
1572-9206
- Abstract
- In this paper, we prove the Hyers-Ulam stability of ternary Jordan C*-homomorphisms and ternary Jordan C*-derivations associated with the following generalized Cauchy-Jensen functional equation: (p)Sigma(i)=f (1/k (p)Sigma(j=1j not equal 1) x(j) + x(i)) = p + k - 1/k (p)Sigma(i=1) f(x(i)) by proving the generalization of Gavruta's theorem.
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