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Comment on "on the stability of quadratic double centralizers and quadratic multipliers: a fixed point approach" [Bodaghi et al., j. inequal. appl. 2011, article id 957541 (2011)]open access

Authors
Park, ChoonkilLee, Jung RyeShin, Dong YunGordji, Madjid Eshaghi
Issue Date
Nov-2011
Publisher
Gordon and Breach Science Publishers
Keywords
Double centralizer; Multiplier; Quadratic functional equation; Stability; Superstability
Citation
Journal of Inequalities and Applications, v.2011, pp.1 - 7
Indexed
SCIE
SCOPUS
Journal Title
Journal of Inequalities and Applications
Volume
2011
Start Page
1
End Page
7
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/167189
DOI
10.1186/1029-242X-2011-104
ISSN
1025-5834
Abstract
Bodaghi et al. [On the stability of quadratic double centralizers and quadratic multipliers: a fixed point approach. J. Inequal. Appl. 2011, Article ID 957541, 9pp. (2011)] proved the Hyers-Ulam stability of quadratic double centralizers and quadratic multipliers on Banach algebras by fixed point method. One can easily show that all the quadratic double centralizers (L, R) in the main results must be (0, 0). The results are trivial. In this article, we correct the results.
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