摘要:In this paper, we prove the Ulam-Hyers-Rassias stability of the Cauchy-Jensen additive functional equation f ( x + y + z 2 ) + f ( x − y + z 2 ) = f ( x ) + f ( z ) in fuzzy Banach spaces. MSC:39B52, 46S40, 26E50, 46L05, 39B72.
关键词:Hyers-Ulam-Rassias stability ; fixed point method ; fuzzy Banach ∗ -algebra ; induced fuzzy C ∗ -algebra