Cascade search of the coincidence set of collections of multivalued mappings (Q736234)

In continuation to his work [Math. Notes 86, No.~1, 107--120 (2009); translation from Mat. Zametki 86, No.~1, 110--125 (2009; Zbl 1196.54071)], the author studies dynamical systems on a subset \(A\) of a metric space when (i) \(A\) is the complete preimage of a closed subspace under a multivalued map of metric spaces; and (ii) \(A\) is the set of coincidence points of the multi-valued maps. Some recent results are also discussed.