Hyers-Ulam stability for a nonlinear iterative equation

Bing Xu, and Weinian Zhang. "Hyers-Ulam stability for a nonlinear iterative equation." Colloquium Mathematicae 93.1 (2002): 1-9. <http://eudml.org/doc/284463>.

@article{BingXu2002,
abstract = {We discuss the Hyers-Ulam stability of the nonlinear iterative equation $G(f^\{n₁\}(x),...,f^\{n_k\}(x)) = F(x)$. By constructing uniformly convergent sequence of functions we prove that this equation has a unique solution near its approximate solution.},
author = {Bing Xu, Weinian Zhang},
journal = {Colloquium Mathematicae},
keywords = {nonlinear iterative equation; Hyers-Ulam stability; approximate solution; uniform convergence; orientation-preserving homeomorphism; nonlinear iterative functional equation; Banach space},
language = {eng},
number = {1},
pages = {1-9},
title = {Hyers-Ulam stability for a nonlinear iterative equation},
url = {http://eudml.org/doc/284463},
volume = {93},
year = {2002},
}

TY - JOUR
AU - Bing Xu
AU - Weinian Zhang
TI - Hyers-Ulam stability for a nonlinear iterative equation
JO - Colloquium Mathematicae
PY - 2002
VL - 93
IS - 1
SP - 1
EP - 9
AB - We discuss the Hyers-Ulam stability of the nonlinear iterative equation $G(f^{n₁}(x),...,f^{n_k}(x)) = F(x)$. By constructing uniformly convergent sequence of functions we prove that this equation has a unique solution near its approximate solution.
LA - eng
KW - nonlinear iterative equation; Hyers-Ulam stability; approximate solution; uniform convergence; orientation-preserving homeomorphism; nonlinear iterative functional equation; Banach space
UR - http://eudml.org/doc/284463
ER -