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

T. Dinevari and M. Frigon

Abstract and Applied Analysis, 2015, vol. 2015, issue 1

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 G and a suitable G‐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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https://doi.org/10.1155/2015/345856

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:345856

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