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초록
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.
키워드
Double centralizer; Multiplier; Quadratic functional equation; Stability; Superstability
- 제목
- 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)]
- 저자
- Park, Choonkil; Lee, Jung Rye; Shin, Dong Yun; Gordji, Madjid Eshaghi
- 발행일
- 2011-11
- 유형
- Review
- 권
- 2011
- 페이지
- 1 ~ 7