Applications of Fixed Point Theorems in the Theory of Generalized IFS

被引：0
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作者：
Alexandru Mihail
Radu Miculescu
机构：
[1] Bucharest University,Department of Mathematics
来源：
Fixed Point Theory and Applications | / 2008卷
关键词：
Point Theorem; Differential Geometry; Computational Biology; Full Article; Publisher Note;
D O I：
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摘要：
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.
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