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Weakly contractive iterated function systems and beyond: a manual

Weakly contractive iterated function systems and beyond: a manual

We give a systematic account of iterated function systems (IFS) of weak contractions of different types (Browder, Rakotch, topological). We show that the existence of attractors and asymptotically stable invariant measures, and the validity of the random iteration algorithm ('chaos game'), can be obtained rather easily for weakly contractive systems. …