Abstract
The problem of the stability of the quadratic functional equation (including ULAM-HYERS and RASSIAS types of stability) in normed spaces is investigated.
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P.W. Cholewa, Remarks on the Stability of Functional Equations, Aequationes Mathematicae27 (1984), 76–86.
Z. Gajda, On the Stability of the Linear Mapping (to appear).
D.H. Hyers, On the Stability of the Linear Functional Equation, Proc. Nat. Acad. Sci. USA27 (1941), 222–224.
D.H. Hyers, M. Ulam, Approximately Convex Functions, Proc. Amer. Math. Soc.3 (1952), 821–828.
S. Kurepa, On the Quadratic Functional, Publ. Inst. Math. Acad. Serbe Sci. Beograd13 (1959), 57–72.
T.M. Rassias, On the Stability of the Linear Mapping in Banach Spaces, Proc. Amer. Math. Soc.72 (2) (1978), 297–300.
S.M. Ulam, A Collection of Mathematical Problems, Interscience Publishers Inc. New York 1960.
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Czerwik, S. On the stability of the quadratic mapping in normed spaces. Abh.Math.Semin.Univ.Hambg. 62, 59–64 (1992). https://doi.org/10.1007/BF02941618
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DOI: https://doi.org/10.1007/BF02941618