Fixed Point Results of Locally Contractive Mappings in Ordered Quasi-Partial Metric Spaces
Fixed point results for a self-map satisfying locally contractive conditions on a closed ball in an ordered 0-complete quasi-partial metric space have been established. Instead of monotone mapping, the notion of dominated mappings is applied. We have used weaker metric, weaker contractive conditions...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2013/194897 |
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| _version_ | 1832562627114434560 |
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| author | Abdullah Shoaib Muhammad Arshad Jamshaid Ahmad |
| author_facet | Abdullah Shoaib Muhammad Arshad Jamshaid Ahmad |
| author_sort | Abdullah Shoaib |
| collection | DOAJ |
| description | Fixed point results for a self-map satisfying locally contractive conditions on a closed ball in an ordered 0-complete quasi-partial metric space have
been established. Instead of monotone mapping, the notion of dominated mappings is applied. We have used weaker metric, weaker contractive conditions, and
weaker restrictions to obtain unique fixed points. An example is given which shows that how this result can be used when the corresponding results cannot. Our results generalize, extend, and improve several well-known conventional results. |
| format | Article |
| id | doaj-art-a38f66e6627848c7b661e26e4256f113 |
| institution | Kabale University |
| issn | 1537-744X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-a38f66e6627848c7b661e26e4256f1132025-02-03T01:22:15ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/194897194897Fixed Point Results of Locally Contractive Mappings in Ordered Quasi-Partial Metric SpacesAbdullah Shoaib0Muhammad Arshad1Jamshaid Ahmad2Department of Mathematics, International Islamic University, H-10, Islamabad 44000, PakistanDepartment of Mathematics, International Islamic University, H-10, Islamabad 44000, PakistanDepartment of Mathematics, COMSATS Institute of Information Technology, Chak Shahzad, Islamabad 44000, PakistanFixed point results for a self-map satisfying locally contractive conditions on a closed ball in an ordered 0-complete quasi-partial metric space have been established. Instead of monotone mapping, the notion of dominated mappings is applied. We have used weaker metric, weaker contractive conditions, and weaker restrictions to obtain unique fixed points. An example is given which shows that how this result can be used when the corresponding results cannot. Our results generalize, extend, and improve several well-known conventional results.http://dx.doi.org/10.1155/2013/194897 |
| spellingShingle | Abdullah Shoaib Muhammad Arshad Jamshaid Ahmad Fixed Point Results of Locally Contractive Mappings in Ordered Quasi-Partial Metric Spaces The Scientific World Journal |
| title | Fixed Point Results of Locally Contractive Mappings in Ordered Quasi-Partial Metric Spaces |
| title_full | Fixed Point Results of Locally Contractive Mappings in Ordered Quasi-Partial Metric Spaces |
| title_fullStr | Fixed Point Results of Locally Contractive Mappings in Ordered Quasi-Partial Metric Spaces |
| title_full_unstemmed | Fixed Point Results of Locally Contractive Mappings in Ordered Quasi-Partial Metric Spaces |
| title_short | Fixed Point Results of Locally Contractive Mappings in Ordered Quasi-Partial Metric Spaces |
| title_sort | fixed point results of locally contractive mappings in ordered quasi partial metric spaces |
| url | http://dx.doi.org/10.1155/2013/194897 |
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