Applications of Fixed Point Theorems in the Theory of Generalized IFS

We introduce the notion of a generalized iterated function system (GIFS), which is a finite family of functions [inline-graphic not available: see fulltext], where [inline-graphic not available: see fulltext] is a metric space and [inline-graphic not available: see fulltext]. In case that [inline-graphic not available: see fulltext] is a compact metric space and the functions [inline-graphic not available: see fulltext] are contractions, using some fixed point theorems for contractions from [inline-graphic not available: see fulltext] to [inline-graphic not available: see fulltext], we prove the existence of the attractor of such a GIFS and its continuous dependence in the [inline-graphic not available: see fulltext]'s.