Lasota, Andrzej; Myjak, Józef Attractors of multifunctions. (English) Zbl 0962.28004 Bull. Pol. Acad. Sci., Math. 48, No. 3, 319-334 (2000). 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. Reviewer: Ilya S.Molchanov (Glasgow) Cited in 1 ReviewCited in 32 Documents 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 Keywords:Markov operator; semiattractor; attractor; set-valued functions; semifractals; fractals; multifunctions PDFBibTeX XMLCite \textit{A. Lasota} and \textit{J. Myjak}, Bull. Pol. Acad. Sci., Math. 48, No. 3, 319--334 (2000; Zbl 0962.28004)