| Abstract: |
| The limit sets generated by iterated function systems (for short, IFSs) with finitely many contractive mappings have been well-studied.
In addition, the limit sets generated by non-autonomous IFSs (for short, NAIFSs) also have been studied little by little.
Note that most NAIFS papers consider IFSs defined on some bounded set, which deduces that the limit sets are always uniformly bounded with respect to the base points.
In this talk, we consider NAIFSs defined on (possibly unbounded) complete metric spaces and we show the existence of the limit sets (which are not uniformly bounded with respect to the base points in general) generated by the NAIFS.
Moreover, we also consider NAIFSs with weights on (possibly unbounded) complete separable metric spaces and we show the existence of the limit (probability) measures generated by the NAIFS with weights.
In addition, we discuss some basic properties of the limit sets and the limit measures. |
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