Hom-derivations in C*-ternary Algebras
- Authors
- Jin, Yuan Feng; Park, Choonkil; Rassias, Michael Th.
- Issue Date
- Sep-2020
- Publisher
- SPRINGER HEIDELBERG
- Keywords
- Hyers-Ulam stability; additive (rho(1),rho(2))-functional inequality; fixed point method; direct method; hom-derivation on C*-ternary algebra
- Citation
- ACTA MATHEMATICA SINICA-ENGLISH SERIES, v.36, no.9, pp.1025 - 1038
- Indexed
- SCIE
SCOPUS
- Journal Title
- ACTA MATHEMATICA SINICA-ENGLISH SERIES
- Volume
- 36
- Number
- 9
- Start Page
- 1025
- End Page
- 1038
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/145158
- DOI
- 10.1007/s10114-020-9323-3
- ISSN
- 1439-8516
- Abstract
- In this paper, we introduce and solve the following additive (rho(1), rho(2))-functional inequalities
parallel to f(x + y + z) - f(x) - f(y) - f(z)parallel to
<=parallel to rho(1)(f(x + z) - f(x) - f(z))parallel to + parallel to rho(2)(f(y + z) - f(y) - f(z))parallel to,
where rho(1) and rho(2) are fixed nonzero complex numbers with vertical bar rho(1)vertical bar + vertical bar rho(2)vertical bar < 2. Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of the above additive (rho(1), rho(2))functional inequality in complex Banach spaces. Furthermore, we prove the Hyers-Ulam stability of hom-derivations in C*-ternary algebras.
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