Comparison Functions and Fixed Point Results in Partial Metric Spaces
The aim of this article is to clearly formulate various possible assumptions for a comparison function in contractive conditions and to deduce respective (common) fixed point results in partial metric spaces. Since standard metric spaces are special cases, these results also apply for them. We will...
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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/10.1155/2012/605781 |
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| _version_ | 1850157949101539328 |
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| author | Nawab Hussain Zoran Kadelburg Stojan Radenović Falleh Al-Solamy |
| author_facet | Nawab Hussain Zoran Kadelburg Stojan Radenović Falleh Al-Solamy |
| author_sort | Nawab Hussain |
| collection | DOAJ |
| description | The aim of this article is to clearly formulate various possible assumptions for a comparison function in contractive conditions and to deduce respective (common) fixed point results in partial metric spaces. Since standard metric spaces are special cases, these results also apply for them. We will show by examples that there exist situations when a partial metric result can be applied, while the standard metric one cannot. |
| format | Article |
| id | doaj-art-5fdfe5ee42a047a093692bf6edbd2fcb |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-5fdfe5ee42a047a093692bf6edbd2fcb2025-08-20T02:24:00ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/605781605781Comparison Functions and Fixed Point Results in Partial Metric SpacesNawab Hussain0Zoran Kadelburg1Stojan Radenović2Falleh Al-Solamy3Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaFaculty of Mathematics, University of Belgrade, Studentski Trg 16, 11000 Beograd, SerbiaFaculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd, SerbiaDepartment of Mathematics, Tabuk University, Tabuk 71491, Saudi ArabiaThe aim of this article is to clearly formulate various possible assumptions for a comparison function in contractive conditions and to deduce respective (common) fixed point results in partial metric spaces. Since standard metric spaces are special cases, these results also apply for them. We will show by examples that there exist situations when a partial metric result can be applied, while the standard metric one cannot.http://dx.doi.org/10.1155/2012/605781 |
| spellingShingle | Nawab Hussain Zoran Kadelburg Stojan Radenović Falleh Al-Solamy Comparison Functions and Fixed Point Results in Partial Metric Spaces Abstract and Applied Analysis |
| title | Comparison Functions and Fixed Point Results in Partial Metric Spaces |
| title_full | Comparison Functions and Fixed Point Results in Partial Metric Spaces |
| title_fullStr | Comparison Functions and Fixed Point Results in Partial Metric Spaces |
| title_full_unstemmed | Comparison Functions and Fixed Point Results in Partial Metric Spaces |
| title_short | Comparison Functions and Fixed Point Results in Partial Metric Spaces |
| title_sort | comparison functions and fixed point results in partial metric spaces |
| url | http://dx.doi.org/10.1155/2012/605781 |
| work_keys_str_mv | AT nawabhussain comparisonfunctionsandfixedpointresultsinpartialmetricspaces AT zorankadelburg comparisonfunctionsandfixedpointresultsinpartialmetricspaces AT stojanradenovic comparisonfunctionsandfixedpointresultsinpartialmetricspaces AT fallehalsolamy comparisonfunctionsandfixedpointresultsinpartialmetricspaces |