Document Type: Research Paper


Department of Mathematics, Payame Noor University, P.O. Box 19395-3697 Tehran, Iran.


The stability problem of the functional equation was conjectured by Ulam and was solved by Hyers in the case of additive mapping. Baker et al. investigated the superstability of the functional equation from a vector space to real numbers. In this paper, we exhibit the superstability of $m$-additive maps on complete non--Archimedean spaces via a fixed point method raised by Diaz and Margolis.


Main Subjects

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