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Homomorphisms and derivations in C*-ternary algebras via fixed point method
- Authors
- Kenari, H. M.; Saadati, Reza; Park, Choonkil
- Issue Date
- Aug-2012
- Publisher
- Hindawi Publishing Corporation
- 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
- Pages
- 13
- Indexed
- SCIE
SCOPUS
- Journal Title
- Advances in Difference Equations
- Start Page
- 1
- End Page
- 13
- ISSN
- 1687-1839
1687-1847
- 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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