| Abstract: |
| The limit sets generated by iterated function systems (for short, IFSs) with finitely many contractive mappings have been studied and the ones generated by general IFSs (in some sense) also have been studied gradually.
Note that most of the papers consider IFSs defined on some bounded set in some sense, which deduces that the limit sets are always uniformly bounded with respect to the base points.
In this talk, we consider general IFSs defined on (possibly unbounded) complete metric spaces.
Then, under the natural condition, we show the existence and uniqueness (in some sense) of the limit sets which are not uniformly bounded with respect to the base points in general.
In addition, we discuss some basic properties of the limit sets. |
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