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Homomorphisms and derivations in C*-ternary algebras via fixed point method
- Title
- Homomorphisms and derivations in C*-ternary algebras via fixed point method
- Author
- 박춘길
- Keywords
- C*-ternary algebra isomorphism; generalized Cauchy-Jensen functional equation; Hyers-Ulam stability; C*-ternary derivation; fixed-point method
- Issue Date
- 2012-08
- Publisher
- SPRINGER INTERNATIONAL PUBLISHING AG
- Citation
- Advances in Difference Equations, 2012, 2012(1), 13P.
- 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.
- URI
- http://link.springer.com/article/10.1186/1687-1847-2012-137http://hdl.handle.net/20.500.11754/48872
- ISSN
- 1687-1847
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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