Banach fixed-point theorem: Difference between revisions

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:<math>
\begin{align}
d(x^*, x_n) & \leq \frac{q^n}{1-q} d(x_1,x_0), \\[5pt]
d(x^*, x_{n+1}) & \leq \frac{q}{1-q} d(x_{n+1},x_n), \\[5pt]
d(x^*, x_{n+1}) & \leq q d(x^*,x_n).
\end{align}