HYERS-ULAM STABILITY OF DERIVATIONS IN FUZZY BANACH SPACE: REVISITED
- Resource Type
- Article
- Authors
- Gang Lu; Yuanfeng Jin; Gang Wu; Sungsik Yun
- Source
- 순수 및 응용수학 / The Pure and Applied Mathematics. May 31, 2018 25(2):135
- Subject
- fuzzy Banach algebra
additive functional equation
Hyers-Ulam stability
fixed point alternative
fuzzy Lie Banach algebra
- Language
- Korean
English
- ISSN
- 1226-0657
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.