Hyers-Ulam stability of derivations in fuzzy Banach space
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Authors
Gang Lu
- Department of Mathematics, Zhejiang University, Hangzhou 310027, P. R. China.
- Department of Mathematics, School of Science, Shenyang University of Technology, Shenyang 110178, P. R. China.
Jun Xie
- Department of Mathematics, School of Science, Shenyang University of Technology, Shenyang 110178, P. R. China.
Qi Liu
- Department of Mathematics, School of Science, Shenyang University of Technology, Shenyang 110178, P. R. China.
Yuanfeng Jin
- Department of Mathematics, Yanbian University, Yanji 133001, P. R. China.
Abstract
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:\( f (2x - y - z)+f (x - z)+f (x + y + 2z) = f (4x)\).
Share and Cite
ISRP Style
Gang Lu, Jun Xie, Qi Liu, Yuanfeng Jin, Hyers-Ulam stability of derivations in fuzzy Banach space, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 12, 5970--5979
AMA Style
Lu Gang, Xie Jun, Liu Qi, Jin Yuanfeng, Hyers-Ulam stability of derivations in fuzzy Banach space. J. Nonlinear Sci. Appl. (2016); 9(12):5970--5979
Chicago/Turabian Style
Lu, Gang, Xie, Jun, Liu, Qi, Jin, Yuanfeng. "Hyers-Ulam stability of derivations in fuzzy Banach space." Journal of Nonlinear Sciences and Applications, 9, no. 12 (2016): 5970--5979
Keywords
- Fuzzy normed space
- additive functional equation
- Hyers-Ulam stability
- fixed point alternative
- fuzzy Banach space.
MSC
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