Approximate ternary quadratic derivation on ternary Banach algebras and C*-ternary rings: revisitedopen access
- Authors
- Park, Choonkill; Lee, Jung Rye
- Issue Date
- Jul-2015
- Publisher
- INT SCIENTIFIC RESEARCH PUBLICATIONS
- Keywords
- Hyers-Ulam stability; algebra-C*-ternary ring; fixed point; quadratic functional equation; algebra-ternary Banach algebra; ternary quadratic derivation
- Citation
- JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, v.8, no.3, pp.218 - 223
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS
- Volume
- 8
- Number
- 3
- Start Page
- 218
- End Page
- 223
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/143424
- DOI
- 10.22436/jnsa.008.03.05
- ISSN
- 2008-1898
- Abstract
- Recently, Shagholi et al. [S. Shagholi, M. Eshaghi Gordji, M. B. Savadkouhi, J. Comput. Anal. Appl., 13 (2011), 1097-1105] defined ternary quadratic derivations on ternary Banach algebras and proved the Hyers-Ulam stability of ternary quadratic derivations on ternary Banach algebras. But the definition was not well-defined. Using the fixed point method, Bodaghi and Alias [A. Bodaghi, I. A. Alias, Adv. Difference Equ., 2012 (2012), 9 pages] proved the Hyers-Ulam stability and the super stability of ternary quadratic derivations on ternary Banach algebras and C*-ternary rings. There are approximate C-quadraticity conditions in the statements of the theorems and the corollaries, but the proofs for the C-quadraticity were not completed. In this paper, we correct the definition of ternary quadratic derivation and complete the proofs of the theorems and the corollaries.
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