Open AccessHyers-Ulam stability of derivations in fuzzy Banach space
Author(s) -
Gang Lü,
Jun ui Xie,
Qi Liu,
Yuanfeng Jin
Publication year - 2016
Publication title -
the journal of nonlinear sciences and applications
Language(s) - English
Resource type - Journals
eISSN - 2008-1901
pISSN - 2008-1898
DOI - 10.22436/jnsa.009.12.05
Subject(s) - mathematics , banach space , stability (learning theory) , fuzzy logic , pure mathematics , space (punctuation) , computer science , machine learning , operating system , artificial intelligence
In this paper, we construct an additive functional equation, and use the fixed point alternative theorem to investigate the Hyers-Ulam stability of derivations fuzzy Banach space and fuzzy Lie Banach space associated with the following functional equation: f (2x− y − z)+f (x− z)+f (x+ y + 2z) = f (4x). c ©2016 All rights reserved.
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