Geodesic
Hyers–Ulam stability for a nonlinear iterative equation
Bing Xu1 ; Weinian Zhang2
1 Department of Mathematics Sichuan University Chengdu, Sichuan 610064 P.R. China
2 Department of Mathematics Sichuan University Chengdu, Sichuan 610064, P.R. China
Colloquium Mathematicum, Tome 93 (2002) no. 1, pp. 1-9.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We discuss the Hyers–Ulam stability of the nonlinear iterative equation $G(f^{n_1}(x),\ldots ,f^{n_k}(x))=F(x)$. By constructing uniformly convergent sequence of functions we prove that this equation has a unique solution near its approximate solution.
DOI : 10.4064/cm93-1-1
Keywords: discuss hyers ulam stability nonlinear iterative equation ldots constructing uniformly convergent sequence functions prove equation has unique solution near its approximate solution

Bing Xu 1 ; Weinian Zhang 2

1 Department of Mathematics Sichuan University Chengdu, Sichuan 610064 P.R. China
2 Department of Mathematics Sichuan University Chengdu, Sichuan 610064, P.R. China 
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Bing Xu; Weinian Zhang. Hyers–Ulam stability
 for a nonlinear iterative equation. Colloquium Mathematicum, Tome 93 (2002) no. 1, pp. 1-9. doi : 10.4064/cm93-1-1. http://geodesic.mathdoc.fr/articles/10.4064/cm93-1-1/

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