Title of article
Hyers-Ulam stability of derivations in fuzzy Banach space
Author/Authors
Lu ، Gang - Zhejiang University , Xie ، Jun - Shenyang University of Technology , Liu ، Qi - Shenyang University of Technology , Jin ، Yuanfeng - Yanbian University
Pages
10
From page
5970
To page
5979
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 ( 2 x − y − z ) + f ( x − z ) + f ( x + y + 2 z ) = f ( 4 x )
Keywords
Fuzzy normed space , additive functional equation , Hyers , Ulam stability , fixed point alternative , fuzzy Banach space
Journal title
Journal of Nonlinear Science and Applications
Serial Year
2016
Journal title
Journal of Nonlinear Science and Applications
Record number
2475674
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