Fixed Points for Multivalued Mappings in b-Metric Spaces
In 2012, Samet et al. introduced the notion of α-ψ-contractive mapping and gave sufficient conditions for the existence of fixed points for this class of mappings. The purpose of our paper is to study the existence of fixed points for multivalued mappings, under an α-ψ-contractive condition of Ćirić...
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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/10.1155/2015/718074 |
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| _version_ | 1832561693766451200 |
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| author | Mohamed Jleli Bessem Samet Calogero Vetro Francesca Vetro |
| author_facet | Mohamed Jleli Bessem Samet Calogero Vetro Francesca Vetro |
| author_sort | Mohamed Jleli |
| collection | DOAJ |
| description | In 2012, Samet et al. introduced the notion of α-ψ-contractive mapping and gave
sufficient conditions for the existence of fixed points for this class of mappings. The purpose of our paper is
to study the existence of fixed points for multivalued mappings,
under an α-ψ-contractive condition of Ćirić type, in the setting of complete b-metric spaces. An application to integral equation is given. |
| format | Article |
| id | doaj-art-294abe77d6324a5c9416e5123f3fcd63 |
| 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-294abe77d6324a5c9416e5123f3fcd632025-02-03T01:24:25ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/718074718074Fixed Points for Multivalued Mappings in b-Metric SpacesMohamed Jleli0Bessem Samet1Calogero Vetro2Francesca Vetro3Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDepartment of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDipartimento di Matematica e Informatica, Università degli Studi di Palermo, Via Archirafi 34, 90123 Palermo, ItalyDipartimento Energia, Ingegneria dell’Informazione e Modelli Matematici (DEIM), Università degli Studi di Palermo, Viale delle Scienze, 90128 Palermo, ItalyIn 2012, Samet et al. introduced the notion of α-ψ-contractive mapping and gave sufficient conditions for the existence of fixed points for this class of mappings. The purpose of our paper is to study the existence of fixed points for multivalued mappings, under an α-ψ-contractive condition of Ćirić type, in the setting of complete b-metric spaces. An application to integral equation is given.http://dx.doi.org/10.1155/2015/718074 |
| spellingShingle | Mohamed Jleli Bessem Samet Calogero Vetro Francesca Vetro Fixed Points for Multivalued Mappings in b-Metric Spaces Abstract and Applied Analysis |
| title | Fixed Points for Multivalued Mappings in b-Metric Spaces |
| title_full | Fixed Points for Multivalued Mappings in b-Metric Spaces |
| title_fullStr | Fixed Points for Multivalued Mappings in b-Metric Spaces |
| title_full_unstemmed | Fixed Points for Multivalued Mappings in b-Metric Spaces |
| title_short | Fixed Points for Multivalued Mappings in b-Metric Spaces |
| title_sort | fixed points for multivalued mappings in b metric spaces |
| url | http://dx.doi.org/10.1155/2015/718074 |
| work_keys_str_mv | AT mohamedjleli fixedpointsformultivaluedmappingsinbmetricspaces AT bessemsamet fixedpointsformultivaluedmappingsinbmetricspaces AT calogerovetro fixedpointsformultivaluedmappingsinbmetricspaces AT francescavetro fixedpointsformultivaluedmappingsinbmetricspaces |