Convergence of compositions of self-mappings (Q2769200)
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scientific article; zbMATH DE number 1701100
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence of compositions of self-mappings |
scientific article; zbMATH DE number 1701100 |
Statements
5 February 2002
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compositions
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complex maps
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0.8937084
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0.88411987
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0.88232917
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0.88220274
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Convergence of compositions of self-mappings (English)
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Let \(\{f_n\}_{n=1}^\infty\) be a sequence of analytic self-mappings of a set \(V\subset{\mathbb C}\), i.e., \(f_n(V)\subseteq V\). Under what condition is the sequence of compositions \(F_h:=f_1\circ f_2\circ\dots\circ f_n\) convergent to a constant function in \(V\)? The paper contains a review of corresponding results from different areas of mathematics.
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