Displaying similar documents to “Stability of the Cauchy equation in ordered fields.”

Solution of a Cauchy-Jensen stability Ulam type problem

John Michael Rassias (2001)

Archivum Mathematicum

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In 1978 P. M. Gruber (Trans. Amer. Math. Soc. 245 (1978), 263–277) imposed the following general problem or Ulam type problem: “Suppose a mathematical object satisfies a certain property approximately. Is it then possible to approximate this objects by objects, satisfying the property exactly?" The afore-mentioned problem of P. M. Gruber is more general than the following problem imposed by S. M. Ulam in 1940 (Intersci, Publ., Inc., New York 1960): “Give conditions in order for a linear...