Countably condensing multimaps and fixed points
In this paper we present a generalization of the Daher's fixed point theorem to countably condensing multimaps. We obtain this result as a consequence of a new M\"onch type theorem for multimaps having weakly closed graph.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Szeged
2012-10-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1914 |
| _version_ | 1797830643486294016 |
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| author | Tiziana Cardinali Paola Rubbioni |
| author_facet | Tiziana Cardinali Paola Rubbioni |
| author_sort | Tiziana Cardinali |
| collection | DOAJ |
| description | In this paper we present a generalization of the Daher's fixed point theorem to countably condensing multimaps. We obtain this result as a consequence of a new M\"onch type theorem for multimaps having weakly closed graph. |
| first_indexed | 2024-04-09T13:40:26Z |
| format | Article |
| id | doaj.art-5785ad5baa5c4c17aa71d539ff3c9ee1 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:40:26Z |
| publishDate | 2012-10-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-5785ad5baa5c4c17aa71d539ff3c9ee12023-05-09T07:53:02ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752012-10-012012831910.14232/ejqtde.2012.1.831914Countably condensing multimaps and fixed pointsTiziana Cardinali0Paola Rubbioni1Department of Mathematics and Informatics, University of Perugia, ItalyDepartment of Mathematics and Informatics, University of Perugia, Perugia, ItalyIn this paper we present a generalization of the Daher's fixed point theorem to countably condensing multimaps. We obtain this result as a consequence of a new M\"onch type theorem for multimaps having weakly closed graph.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1914countably condensing multimapfixed pointmeasure of noncompactnessweakly closed graphquasi-convex set |
| spellingShingle | Tiziana Cardinali Paola Rubbioni Countably condensing multimaps and fixed points Electronic Journal of Qualitative Theory of Differential Equations countably condensing multimap fixed point measure of noncompactness weakly closed graph quasi-convex set |
| title | Countably condensing multimaps and fixed points |
| title_full | Countably condensing multimaps and fixed points |
| title_fullStr | Countably condensing multimaps and fixed points |
| title_full_unstemmed | Countably condensing multimaps and fixed points |
| title_short | Countably condensing multimaps and fixed points |
| title_sort | countably condensing multimaps and fixed points |
| topic | countably condensing multimap fixed point measure of noncompactness weakly closed graph quasi-convex set |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1914 |
| work_keys_str_mv | AT tizianacardinali countablycondensingmultimapsandfixedpoints AT paolarubbioni countablycondensingmultimapsandfixedpoints |