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
Youssef Aribou, Hajira Dimou, Abdellatif Chahbi, Samir Kabbaj (2015)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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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.
Approximately quadratic mappings on restricted domains.
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Journal of Inequalities and Applications [electronic only]
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Gordji, M.Eshaghi, Khodaei, H. (2009)
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A fixed point approach to the stability of a quadratic functional equation in -algebras.
Moghimi, Mohammad B., Najati, Abbas, Park, Choonkil (2009)
Advances in Difference Equations [electronic only]
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Stability of approximate quadratic mappings.
Kim, Hark-Mahn, Kim, Minyoung, Lee, Juri (2010)
Journal of Inequalities and Applications [electronic only]
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On the stability of quadratic functional equations.
Lee, Jung Rye, An, Jong Su, Park, Choonkil (2008)
Abstract and Applied Analysis
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The Hyers-Ulam stability for two functional equations in a single variable.
Miheţ, Dorel (2008)
Banach Journal of Mathematical Analysis [electronic only]
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A fixed point approach to the stability of Pexider quadratic functional equation with involution.
Pourpasha, M.M., Rassias, J.M., Saadati, R., Vaezpour, S.M. (2010)
Journal of Inequalities and Applications [electronic only]
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Solution of a quadratic stability Ulam type problem
John Michael Rassias (2004)
Archivum Mathematicum
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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...