Cyclic Contractions on -Metric Spaces
Conditions for existence and uniqueness of fixed points of two types of cyclic contractions defined on -metric spaces are established and some illustrative examples are given. In addition, cyclic maps satisfying integral type contractive conditions are presented as applications.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/182947 |
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| _version_ | 1832548536533647360 |
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| author | E. Karapınar A. Yıldız-Ulus İ. M. Erhan |
| author_facet | E. Karapınar A. Yıldız-Ulus İ. M. Erhan |
| author_sort | E. Karapınar |
| collection | DOAJ |
| description | Conditions for existence and uniqueness of fixed points of two types of cyclic contractions defined on -metric spaces are established and some illustrative examples are given. In addition, cyclic maps
satisfying integral type contractive conditions are presented as applications. |
| format | Article |
| id | doaj-art-4f219d4653834cbc851c122a14e29145 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-4f219d4653834cbc851c122a14e291452025-02-03T06:13:50ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/182947182947Cyclic Contractions on -Metric SpacesE. Karapınar0A. Yıldız-Ulus1İ. M. Erhan2Department of Mathematics, Atilim University, 06836 incek, TurkeyDepartment of Mathematics, Galatasaray University, 34349 Istanbul, TurkeyDepartment of Mathematics, Atilim University, 06836 incek, TurkeyConditions for existence and uniqueness of fixed points of two types of cyclic contractions defined on -metric spaces are established and some illustrative examples are given. In addition, cyclic maps satisfying integral type contractive conditions are presented as applications.http://dx.doi.org/10.1155/2012/182947 |
| spellingShingle | E. Karapınar A. Yıldız-Ulus İ. M. Erhan Cyclic Contractions on -Metric Spaces Abstract and Applied Analysis |
| title | Cyclic Contractions on -Metric Spaces |
| title_full | Cyclic Contractions on -Metric Spaces |
| title_fullStr | Cyclic Contractions on -Metric Spaces |
| title_full_unstemmed | Cyclic Contractions on -Metric Spaces |
| title_short | Cyclic Contractions on -Metric Spaces |
| title_sort | cyclic contractions on metric spaces |
| url | http://dx.doi.org/10.1155/2012/182947 |
| work_keys_str_mv | AT ekarapınar cycliccontractionsonmetricspaces AT ayıldızulus cycliccontractionsonmetricspaces AT imerhan cycliccontractionsonmetricspaces |