Dynamics on $(P_{cp}(X), H_{d})$ Generated by a Finite Family of Multi-valued Operators on $(X, d)$

Adrian Petruşel, Ioan Rus

The main purpose of this paper is to give some partial answers to the following problem: If $F_i$, $i\in\{1,\dots,m\}$ is a finite family of weakly Picard multi-valued operators, is the operator<br> $T_{F}: P(X) \to P(X)$, $T_{F}:= \bigcup_{i=1}^{m} F_{i}(Y)$ a weakly Picard operator too?