The iterative methods may consist of using iteration functions.
2.
Both are based on tracing paths from non-escaping points, iterated from a ( random ) starting point, and the iteration functions are related by the transformation given above.
3.
There are several fixed-point theorems to guarantee the existence of the fixed point, but since the iteration function is continuous, we can usually use the above theorem to test if an iteration converges or not.
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