A Kirk Type Characterization of Completeness for Partial Metric Spaces
<p/> <p>We extend the celebrated result of W. A. Kirk that a metric space <inline-formula> <graphic file="1687-1812-2010-493298-i1.gif"/></inline-formula> is complete if and only if every Caristi self-mapping for <inline-formula> <graphic file="1...
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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://www.fixedpointtheoryandapplications.com/content/2010/493298 |
| _version_ | 1819117210582384640 |
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| author | Romaguera Salvador |
| author_facet | Romaguera Salvador |
| author_sort | Romaguera Salvador |
| collection | DOAJ |
| description | <p/> <p>We extend the celebrated result of W. A. Kirk that a metric space <inline-formula> <graphic file="1687-1812-2010-493298-i1.gif"/></inline-formula> is complete if and only if every Caristi self-mapping for <inline-formula> <graphic file="1687-1812-2010-493298-i2.gif"/></inline-formula> has a fixed point, to partial metric spaces.</p> |
| first_indexed | 2024-12-22T05:29:22Z |
| format | Article |
| id | doaj.art-81f1bed1ebca47278d7b82dc0cfbb32b |
| institution | Directory Open Access Journal |
| issn | 1687-1820 1687-1812 |
| language | English |
| last_indexed | 2024-12-22T05:29:22Z |
| publishDate | 2010-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Applications |
| spelling | doaj.art-81f1bed1ebca47278d7b82dc0cfbb32b2022-12-21T18:37:29ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122010-01-0120101493298A Kirk Type Characterization of Completeness for Partial Metric SpacesRomaguera Salvador<p/> <p>We extend the celebrated result of W. A. Kirk that a metric space <inline-formula> <graphic file="1687-1812-2010-493298-i1.gif"/></inline-formula> is complete if and only if every Caristi self-mapping for <inline-formula> <graphic file="1687-1812-2010-493298-i2.gif"/></inline-formula> has a fixed point, to partial metric spaces.</p>http://www.fixedpointtheoryandapplications.com/content/2010/493298 |
| spellingShingle | Romaguera Salvador A Kirk Type Characterization of Completeness for Partial Metric Spaces Fixed Point Theory and Applications |
| title | 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_short | A Kirk Type Characterization of Completeness for Partial Metric Spaces |
| title_sort | kirk type characterization of completeness for partial metric spaces |
| url | http://www.fixedpointtheoryandapplications.com/content/2010/493298 |
| work_keys_str_mv | AT romaguerasalvador akirktypecharacterizationofcompletenessforpartialmetricspaces AT romaguerasalvador kirktypecharacterizationofcompletenessforpartialmetricspaces |