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A fixed point approach to the stability of an equation of the square spiral - MaRDI portal

A fixed point approach to the stability of an equation of the square spiral (Q2461426)

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A fixed point approach to the stability of an equation of the square spiral
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    A fixed point approach to the stability of an equation of the square spiral (English)
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    27 November 2007
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    The idea of \textit{L. Cădariu} and \textit{V. Radu} [Grazer Math. Ber. 346, 43--52 (2004; Zbl 1060.39028)] is adopted to prove the Hyers-Ulam-Rassias stability of the functional equation of the square root spiral \(f(\surd(r^{2}+1))=f(r)+tan^{-1}(1/r)\).
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    Hyers-Ulam-Rassias stability
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    functional equation of the square root spiral
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