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 fk:Xm → X, where (X,d) is a metric space and m∈ℕ. In case that (X,d) is a compact metric space and the functions fk are contractions, using some fixed point theore...

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Bibliographic Details
Main Authors: Radu Miculescu, Alexandru Mihail
Format: Article
Language:English
Published: SpringerOpen 2008-07-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/2008/312876