SUPERSTABILITY OF m-ADDITIVE MAPS ON COMPLETE NON{ARCHIMEDEAN SPACES

The stability problem of the functional equation was conjectured by Ulam and was solved by Hyers in the case of ad- ditive mapping. Baker et al. investigated the superstability of thefunctional equation from a vector space to real numbers. In this pa- per, we exhibit the superstability of m-additive maps on completenon{Archimedean spaces via a xed point method raised by Diaz and Margolis.