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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/345856 |
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| _version_ | 1849415037281632256 |
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| author | T. Dinevari M. Frigon |
| author_facet | T. Dinevari M. Frigon |
| author_sort | T. Dinevari |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-6a1d27dfd7f84ea68aaa2d3f5d07f261 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-6a1d27dfd7f84ea68aaa2d3f5d07f2612025-08-20T03:33:39ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/345856345856Applications of Multivalued Contractions on Graphs to Graph-Directed Iterated Function SystemsT. Dinevari0M. Frigon1Département de Mathématiques et de Statistique, Université de Montréal, C.P. 6128, Succursale Centre-Ville, Montréal, QC, H3C 3J7, CanadaDépartement de Mathématiques et de Statistique, Université de Montréal, C.P. 6128, Succursale Centre-Ville, Montréal, QC, H3C 3J7, CanadaWe 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.http://dx.doi.org/10.1155/2015/345856 |
| spellingShingle | T. Dinevari M. Frigon Applications of Multivalued Contractions on Graphs to Graph-Directed Iterated Function Systems Abstract and Applied Analysis |
| title | Applications of Multivalued Contractions on Graphs to Graph-Directed Iterated Function Systems |
| title_full | Applications of Multivalued Contractions on Graphs to Graph-Directed Iterated Function Systems |
| title_fullStr | Applications of Multivalued Contractions on Graphs to Graph-Directed Iterated Function Systems |
| title_full_unstemmed | Applications of Multivalued Contractions on Graphs to Graph-Directed Iterated Function Systems |
| title_short | Applications of Multivalued Contractions on Graphs to Graph-Directed Iterated Function Systems |
| title_sort | applications of multivalued contractions on graphs to graph directed iterated function systems |
| url | http://dx.doi.org/10.1155/2015/345856 |
| work_keys_str_mv | AT tdinevari applicationsofmultivaluedcontractionsongraphstographdirectediteratedfunctionsystems AT mfrigon applicationsofmultivaluedcontractionsongraphstographdirectediteratedfunctionsystems |