Fixed Point Theory for Cyclic Generalized Weak 𝜙-Contraction on Partial Metric Spaces
A new fixed point theorem is obtained for the class of cyclic weak 𝜙-contractions on partially metric spaces. It is proved that a self-mapping 𝑇 on a complete partial metric space 𝑋 has a fixed point if it satisfies the cyclic weak 𝜙-contraction principle.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/491542 |
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| _version_ | 1849691350691217408 |
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| author | Erdal Karapınar I. Savas Yuce |
| author_facet | Erdal Karapınar I. Savas Yuce |
| author_sort | Erdal Karapınar |
| collection | DOAJ |
| description | A new fixed point theorem is obtained for the
class of cyclic weak 𝜙-contractions on partially metric spaces. It is proved that
a self-mapping 𝑇 on a complete partial metric space 𝑋 has a fixed point if it
satisfies the cyclic weak 𝜙-contraction principle. |
| format | Article |
| id | doaj-art-e8053ce58c6942e2a146374c57d3ade5 |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e8053ce58c6942e2a146374c57d3ade52025-08-20T03:21:03ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/491542491542Fixed Point Theory for Cyclic Generalized Weak 𝜙-Contraction on Partial Metric SpacesErdal Karapınar0I. Savas Yuce1Department of Mathematics, Atılım University, 06836 İncek, TurkeyDepartment of Mathematics, Atılım University, 06836 İncek, TurkeyA new fixed point theorem is obtained for the class of cyclic weak 𝜙-contractions on partially metric spaces. It is proved that a self-mapping 𝑇 on a complete partial metric space 𝑋 has a fixed point if it satisfies the cyclic weak 𝜙-contraction principle.http://dx.doi.org/10.1155/2012/491542 |
| spellingShingle | Erdal Karapınar I. Savas Yuce Fixed Point Theory for Cyclic Generalized Weak 𝜙-Contraction on Partial Metric Spaces Abstract and Applied Analysis |
| title | Fixed Point Theory for Cyclic Generalized Weak 𝜙-Contraction on Partial Metric Spaces |
| title_full | Fixed Point Theory for Cyclic Generalized Weak 𝜙-Contraction on Partial Metric Spaces |
| title_fullStr | Fixed Point Theory for Cyclic Generalized Weak 𝜙-Contraction on Partial Metric Spaces |
| title_full_unstemmed | Fixed Point Theory for Cyclic Generalized Weak 𝜙-Contraction on Partial Metric Spaces |
| title_short | Fixed Point Theory for Cyclic Generalized Weak 𝜙-Contraction on Partial Metric Spaces |
| title_sort | fixed point theory for cyclic generalized weak 𝜙 contraction on partial metric spaces |
| url | http://dx.doi.org/10.1155/2012/491542 |
| work_keys_str_mv | AT erdalkarapınar fixedpointtheoryforcyclicgeneralizedweakφcontractiononpartialmetricspaces AT isavasyuce fixedpointtheoryforcyclicgeneralizedweakφcontractiononpartialmetricspaces |