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Attractors of multifunctions. (English) Zbl 0962.28004
The authors introduce the notion of semiattractor and attractor for set-valued functions and show that they have properties similar to semifractals and fractals. An important example of this construction is provided by multifunctions that are generated by a Markov transition kernel through the corresponding support sets.

MSC:
28A80 Fractals
54C60 Set-valued maps in general topology
26E25 Set-valued functions
60J05 Discrete-time Markov processes on general state spaces
37A30 Ergodic theorems, spectral theory, Markov operators
37B25 Stability of topological dynamical systems
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