On Fixed Points of α-ψ-Contractive Multivalued Mappings in Cone Metric Spaces
We define the notion of α*-ψ-contractive mappings for cone metric space and obtain fixed points of multivalued mappings in connection with Hausdorff distance function for closed bounded subsets of cone metric spaces. We obtain some recent results of the literature as corollaries of our main theorem....
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/313782 |
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| _version_ | 1832563963597946880 |
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| author | Marwan Amin Kutbi Jamshaid Ahmad Akbar Azam |
| author_facet | Marwan Amin Kutbi Jamshaid Ahmad Akbar Azam |
| author_sort | Marwan Amin Kutbi |
| collection | DOAJ |
| description | We define the notion of
α*-ψ-contractive mappings for cone metric space and
obtain fixed points of multivalued mappings in connection with Hausdorff
distance function for closed bounded subsets of cone metric spaces. We
obtain some recent results of the literature as corollaries of our main
theorem. Moreover, a nontrivial example of α*-ψ-contractive mapping satisfying all conditions of our main result has been
constructed. |
| format | Article |
| id | doaj-art-19e9c130d50e44ef9e3a59d15650aec1 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-19e9c130d50e44ef9e3a59d15650aec12025-02-03T01:12:02ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/313782313782On Fixed Points of α-ψ-Contractive Multivalued Mappings in Cone Metric SpacesMarwan Amin Kutbi0Jamshaid Ahmad1Akbar Azam2Department of Mathematics, King Abdul Aziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, COMSATS Institute of Information Technology, Chak Shahzad, Islamabad 44000, PakistanDepartment of Mathematics, COMSATS Institute of Information Technology, Chak Shahzad, Islamabad 44000, PakistanWe define the notion of α*-ψ-contractive mappings for cone metric space and obtain fixed points of multivalued mappings in connection with Hausdorff distance function for closed bounded subsets of cone metric spaces. We obtain some recent results of the literature as corollaries of our main theorem. Moreover, a nontrivial example of α*-ψ-contractive mapping satisfying all conditions of our main result has been constructed.http://dx.doi.org/10.1155/2013/313782 |
| spellingShingle | Marwan Amin Kutbi Jamshaid Ahmad Akbar Azam On Fixed Points of α-ψ-Contractive Multivalued Mappings in Cone Metric Spaces Abstract and Applied Analysis |
| title | On Fixed Points of α-ψ-Contractive Multivalued Mappings in Cone Metric Spaces |
| title_full | On Fixed Points of α-ψ-Contractive Multivalued Mappings in Cone Metric Spaces |
| title_fullStr | On Fixed Points of α-ψ-Contractive Multivalued Mappings in Cone Metric Spaces |
| title_full_unstemmed | On Fixed Points of α-ψ-Contractive Multivalued Mappings in Cone Metric Spaces |
| title_short | On Fixed Points of α-ψ-Contractive Multivalued Mappings in Cone Metric Spaces |
| title_sort | on fixed points of α ψ contractive multivalued mappings in cone metric spaces |
| url | http://dx.doi.org/10.1155/2013/313782 |
| work_keys_str_mv | AT marwanaminkutbi onfixedpointsofapscontractivemultivaluedmappingsinconemetricspaces AT jamshaidahmad onfixedpointsofapscontractivemultivaluedmappingsinconemetricspaces AT akbarazam onfixedpointsofapscontractivemultivaluedmappingsinconemetricspaces |