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
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
Journal title :
Journal of Nonlinear Science and Applications
