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Applications of Multivalued Contractions on Graphs to Graph-Directed Iterated Function Systems

T. Dinevari and M. Frigon

Abstract and Applied Analysis, 2015, vol. 2015, 1-16

Abstract:

We apply a fixed point result for multivalued contractions on complete metric spaces endowed with a graph to graph-directed iterated function systems. More precisely, we construct a suitable metric space endowed with a graph and a suitable -contraction such that its fixed points permit us to obtain more information on the attractor of a graph-directed iterated function system.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:345856

DOI: 10.1155/2015/345856

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