摘要:In this paper, we determine the stability of a generalized Hyers-Ulam-Rassias-type theorem concerning the additive functional equation 2 f ( x + y + z 2 ) = f ( x ) + f ( y ) + f ( z ) in the framework of intuitionistic fuzzy normed spaces through the fixed-point alternative. Further, we prove some stability results of an additive functional equation in this setup through the direct method. MSC:39B52, 39B82, 46S40.
关键词:t -norm ; t -conorm ; additive functional equation ; intuitionistic fuzzy normed space ; fixed point