A Kirk Type Characterization of Completeness for Partial Metric Spaces
We extend the celebrated result of W. A. Kirk that a metric space X is complete if and only if every Caristi self-mapping for X has a fixed point, to partial metric spaces.
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| Format: | Article |
| Language: | English |
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SpringerOpen
2010-01-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://dx.doi.org/10.1155/2010/493298 |
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doaj-2aefae14c7e8454193658c4abc27ab25 |
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Article |
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doaj-2aefae14c7e8454193658c4abc27ab252020-11-25T01:18:24ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122010-01-01201010.1155/2010/493298A Kirk Type Characterization of Completeness for Partial Metric SpacesSalvador RomagueraWe extend the celebrated result of W. A. Kirk that a metric space X is complete if and only if every Caristi self-mapping for X has a fixed point, to partial metric spaces. http://dx.doi.org/10.1155/2010/493298 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Salvador Romaguera |
| spellingShingle |
Salvador Romaguera A Kirk Type Characterization of Completeness for Partial Metric Spaces Fixed Point Theory and Applications |
| author_facet |
Salvador Romaguera |
| author_sort |
Salvador Romaguera |
| title |
A Kirk Type Characterization of Completeness for Partial Metric Spaces |
| title_short |
A Kirk Type Characterization of Completeness for Partial Metric Spaces |
| title_full |
A Kirk Type Characterization of Completeness for Partial Metric Spaces |
| title_fullStr |
A Kirk Type Characterization of Completeness for Partial Metric Spaces |
| title_full_unstemmed |
A Kirk Type Characterization of Completeness for Partial Metric Spaces |
| title_sort |
kirk type characterization of completeness for partial metric spaces |
| publisher |
SpringerOpen |
| series |
Fixed Point Theory and Applications |
| issn |
1687-1820 1687-1812 |
| publishDate |
2010-01-01 |
| description |
We extend the celebrated result of W. A. Kirk that a metric space X is complete if and only if every Caristi self-mapping for X has a fixed point, to partial metric spaces. |
| url |
http://dx.doi.org/10.1155/2010/493298 |
| work_keys_str_mv |
AT salvadorromaguera akirktypecharacterizationofcompletenessforpartialmetricspaces AT salvadorromaguera kirktypecharacterizationofcompletenessforpartialmetricspaces |
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1715803496635170816 |