Some Common Fixed Point Theorems in Partial Metric Spaces
Many problems in pure and applied mathematics reduce to a problem of common fixed point of some self-mapping operators which are defined on metric spaces. One of the generalizations of metric spaces is the partial metric space in which self-distance of points need not to be zero but the property of...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2011/263621 |
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| _version_ | 1832563572076445696 |
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| author | Erdal Karapınar Uğur Yüksel |
| author_facet | Erdal Karapınar Uğur Yüksel |
| author_sort | Erdal Karapınar |
| collection | DOAJ |
| description | Many problems in pure and applied mathematics reduce to a problem
of common fixed point of some self-mapping operators which are defined
on metric spaces. One of the generalizations of metric spaces is the partial
metric space in which self-distance of points need not to be zero but the
property of symmetric and modified version of triangle inequality is satisfied. In this paper, some well-known results on common fixed point are
investigated and generalized to the class of partial metric spaces. |
| format | Article |
| id | doaj-art-830b33734b8647739a170efa1a8eb376 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-830b33734b8647739a170efa1a8eb3762025-02-03T01:13:12ZengWileyJournal of Applied Mathematics1110-757X1687-00422011-01-01201110.1155/2011/263621263621Some Common Fixed Point Theorems in Partial Metric SpacesErdal Karapınar0Uğur Yüksel1Department of Mathematics, Atilim University, Incek, 06836 Ankara, TurkeyDepartment of Mathematics, Atilim University, Incek, 06836 Ankara, TurkeyMany problems in pure and applied mathematics reduce to a problem of common fixed point of some self-mapping operators which are defined on metric spaces. One of the generalizations of metric spaces is the partial metric space in which self-distance of points need not to be zero but the property of symmetric and modified version of triangle inequality is satisfied. In this paper, some well-known results on common fixed point are investigated and generalized to the class of partial metric spaces.http://dx.doi.org/10.1155/2011/263621 |
| spellingShingle | Erdal Karapınar Uğur Yüksel Some Common Fixed Point Theorems in Partial Metric Spaces Journal of Applied Mathematics |
| title | Some Common Fixed Point Theorems in Partial Metric Spaces |
| title_full | Some Common Fixed Point Theorems in Partial Metric Spaces |
| title_fullStr | Some Common Fixed Point Theorems in Partial Metric Spaces |
| title_full_unstemmed | Some Common Fixed Point Theorems in Partial Metric Spaces |
| title_short | Some Common Fixed Point Theorems in Partial Metric Spaces |
| title_sort | some common fixed point theorems in partial metric spaces |
| url | http://dx.doi.org/10.1155/2011/263621 |
| work_keys_str_mv | AT erdalkarapınar somecommonfixedpointtheoremsinpartialmetricspaces AT uguryuksel somecommonfixedpointtheoremsinpartialmetricspaces |