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Demonstrates that boundedness of fixed points equates to boundedness of attractors in a specific mapping class.
We consider topological attractors of (possibly infinite) iterated function systems. It is shown that for some class of non-expansive mappings the boundedness of the set of all globally attractive fixed points is equivalent to the boundedness of the attractor. Moreover, such a system fullfils the so-called address theorem.
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Grzegorz Guzik (2026) studied this question.
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