Generalized Hyers-Ulam stability of quadratic functional equations: a fixed point approach.
Park, Choonkil (2008)
Fixed Point Theory and Applications [electronic only]
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Displaying similar documents to “Hyers-ulam Stability of a General Quadratic Functional Equation”
Generalized Hyers-Ulam stability of quadratic functional equations: a fixed point approach.
Stability of generalized quadratic functional equation on a set of measure zero
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In this paper we prove the Hyers-Ulam stability of the following K-quadratic functional equation [...] where E is a real (or complex) vector space. This result was used to demonstrate the Hyers-Ulam stability on a set of Lebesgue measure zero for the same functional equation.
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Solution of a quadratic stability Ulam type problem
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In 1940 S. M. Ulam (Intersci. Publ., Inc., New York 1960) imposed at the University of Wisconsin the problem: “Give conditions in order for a linear mapping near an approximately linear mapping to exist”. According to P. M. Gruber (Trans. Amer. Math. Soc. 245 (1978), 263–277) the afore-mentioned problem of S. M. Ulam belongs to the following general problem or Ulam type problem: “Suppose a mathematical object satisfies a certain property approximately. Is it then possible to approximate...