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

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  • T. Dinevari
  • M. Frigon

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.

Suggested Citation

  • T. Dinevari & M. Frigon, 2015. "Applications of Multivalued Contractions on Graphs to Graph-Directed Iterated Function Systems," Abstract and Applied Analysis, Hindawi, vol. 2015, pages 1-16, January.
    • Handle: RePEc:hin:jnlaaa:345856
    DOI: 10.1155/2015/345856
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