Periodic Points and Fixed Points for the Weaker (ϕ,φ)-Contractive Mappings in Complete Generalized Metric Spaces
We introduce the notion of weaker (ϕ,φ)-contractive mapping in complete metric spaces and prove the periodic points and fixed points for this type of contraction. Our results generalize or improve many recent fixed point theorems in the literature.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/856974 |
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| _version_ | 1832559937087078400 |
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| author | Chi-Ming Chen W. Y. Sun |
| author_facet | Chi-Ming Chen W. Y. Sun |
| author_sort | Chi-Ming Chen |
| collection | DOAJ |
| description | We introduce the notion of weaker (ϕ,φ)-contractive
mapping in complete metric spaces and prove the periodic points and fixed points for this type of contraction. Our results generalize or improve many recent fixed point theorems in the literature. |
| format | Article |
| id | doaj-art-e296564b8aa94d74827b0c5ea556af82 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-e296564b8aa94d74827b0c5ea556af822025-02-03T01:28:59ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/856974856974Periodic Points and Fixed Points for the Weaker (ϕ,φ)-Contractive Mappings in Complete Generalized Metric SpacesChi-Ming Chen0W. Y. Sun1Department of Applied Mathematics, National Hsinchu University of Education, No. 521 Nanda Road, Hsinchu City 300, TaiwanDepartment of Applied Mathematics, National Hsinchu University of Education, No. 521 Nanda Road, Hsinchu City 300, TaiwanWe introduce the notion of weaker (ϕ,φ)-contractive mapping in complete metric spaces and prove the periodic points and fixed points for this type of contraction. Our results generalize or improve many recent fixed point theorems in the literature.http://dx.doi.org/10.1155/2012/856974 |
| spellingShingle | Chi-Ming Chen W. Y. Sun Periodic Points and Fixed Points for the Weaker (ϕ,φ)-Contractive Mappings in Complete Generalized Metric Spaces Journal of Applied Mathematics |
| title | Periodic Points and Fixed Points for the Weaker (ϕ,φ)-Contractive Mappings in Complete Generalized Metric Spaces |
| title_full | Periodic Points and Fixed Points for the Weaker (ϕ,φ)-Contractive Mappings in Complete Generalized Metric Spaces |
| title_fullStr | Periodic Points and Fixed Points for the Weaker (ϕ,φ)-Contractive Mappings in Complete Generalized Metric Spaces |
| title_full_unstemmed | Periodic Points and Fixed Points for the Weaker (ϕ,φ)-Contractive Mappings in Complete Generalized Metric Spaces |
| title_short | Periodic Points and Fixed Points for the Weaker (ϕ,φ)-Contractive Mappings in Complete Generalized Metric Spaces |
| title_sort | periodic points and fixed points for the weaker ϕ φ contractive mappings in complete generalized metric spaces |
| url | http://dx.doi.org/10.1155/2012/856974 |
| work_keys_str_mv | AT chimingchen periodicpointsandfixedpointsfortheweakerphphcontractivemappingsincompletegeneralizedmetricspaces AT wysun periodicpointsandfixedpointsfortheweakerphphcontractivemappingsincompletegeneralizedmetricspaces |