title: Hyers-ulam stability of functional equations with a square-symmetric operation.
abstract: The stability of the functional equation f(x composite function y) = H(f(x), f(y)) (x, y in S) is investigated, where H is a homogeneous function and composite function is a square-symmetric operation on the set S. The results presented include and generalize the classical theorem of Hyers obtained in 1941 on the stability of the Cauchy functional equation.
authors.affiliation: Institute of Mathematics and Informatics, Lajos Kossuth University, H-4010 Debrecen, Pf. 12, Hungary.
authors.forename: Z
authors.initials: Z
authors.lastname: Páles
authors.forename: P
authors.initials: P
authors.lastname: Volkmann
authors.forename: R D
authors.initials: RD
authors.lastname: Luce