Applications of Multivalued Contractions on Graphs to Graph-Directed Iterated Function Systems
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 obta...
| Published in: | Abstract and Applied Analysis |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Online Access: | http://dx.doi.org/10.1155/2015/345856 |
| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |