Hyers-Ulam Stability of Mappings From a Ring a Into an a-Bimodule

Abstract

Abstract. We deal with the Hyers-Ulam stability problem of linear mappings from a vector space into a Banach one with respect to the following functional equation:We then combine this equation with other ones and establish the HyersUlam stability of several kinds of linear mappings, among which the algebra ( * -) homomorphisms, the derivations, the multipliers and others. We thus repair and improve some previous assertions in the literature.