Abstract
C\u{a}dariu and Radu applied the fixed point method to the investigation of Cauchy and Jensen functional equations. In this paper, we adopt the idea of C\u{a}dariu and Radu to prove the Hyers-Ulam-Rassias stability of a functional equation of the square root spiral, $f\!\left( \!\sqrt{r^2 + 1}\, \right) = f(r) + \tan^{-1} (1/r)$.
Citation
Soon-Mo Jung . "A fixed point approach to the stability of an equation of the square spiral." Banach J. Math. Anal. 1 (2) 148 - 153, 2007. https://doi.org/10.15352/bjma/1240336212
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