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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2018.1
- 수록면
- 135 - 147 (13page)
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Lu et al. [27] de ned derivations on fuzzy Banach spaces and fuzzy Lie Banach spaces and proved the Hyers-Ulam stability of derivations on fuzzy Banach spaces and fuzzy Lie Banach spaces. It is easy to show that the de nitions of derivations on fuzzy Banach spaces and fuzzy Lie Banach spaces are wrong and so the results of [27] are wrong. Moreover, there are a lot of seroius problems in the statements and the proofs of the results in Sections 2 and 3. In this paper, we correct the de nitions of biderivations on fuzzy Banach algebras and fuzzy Lie Banach algebras and the statements of the results in [27], and prove the corrected theorems.
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참고문헌 (38)
참고문헌 신청
S. Alizadeh / 2016 / Approximate a quadratic mapping in multi-Banach spaces, a fixed point approach / Int. J. Nonlinear Anal. Appl. 7(1):63~75
T. Aoki / 1950 / On the stability of the linear transformation in Banach spaces / J. Math. Soc. Japan 2:64~66
T. Bag / 2003 / Finite dimensional fuzzy normed linear spaces / J. Fuzzy Math. 11:687~705
T. Bag / 2005 / Fuzzy bounded linear operators / Fuzzy Sets Syst. 151:513~547
V. Balopoulos / 2007 / Distance and similarity measures for fuzzy operators / Inform. Sci. 177:2336~2348
T. Aoki / 1950 / On the stability of the linear transformation in Banach spaces / J. Math. Soc. Japan 2:64~66
T. Bag / 2003 / Finite dimensional fuzzy normed linear spaces / J. Fuzzy Math. 11:687~705
T. Bag / 2005 / Fuzzy bounded linear operators / Fuzzy Sets Syst. 151:513~547
V. Balopoulos / 2007 / Distance and similarity measures for fuzzy operators / Inform. Sci. 177:2336~2348
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