A Generalisation of Contraction Principle in Metric Spaces
Here we introduce a generalisation of the Banach contraction mapping principle. We show that the result extends two existing generalisations of the same principle. We support our result by an example.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2009-01-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://dx.doi.org/10.1155/2008/406368 |
| _version_ | 1819026447675686912 |
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| author | Binayak S. Choudhury P. N. Dutta |
| author_facet | Binayak S. Choudhury P. N. Dutta |
| author_sort | Binayak S. Choudhury |
| collection | DOAJ |
| description | Here we introduce a generalisation of the Banach contraction mapping principle. We show that the result extends two existing generalisations of the same principle. We support our result by an example. |
| first_indexed | 2024-12-21T05:26:43Z |
| format | Article |
| id | doaj.art-235515b59bcf469a86f96224063c2995 |
| institution | Directory Open Access Journal |
| issn | 1687-1820 1687-1812 |
| language | English |
| last_indexed | 2024-12-21T05:26:43Z |
| publishDate | 2009-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Applications |
| spelling | doaj.art-235515b59bcf469a86f96224063c29952022-12-21T19:14:40ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122009-01-01200810.1155/2008/406368A Generalisation of Contraction Principle in Metric SpacesBinayak S. ChoudhuryP. N. DuttaHere we introduce a generalisation of the Banach contraction mapping principle. We show that the result extends two existing generalisations of the same principle. We support our result by an example.http://dx.doi.org/10.1155/2008/406368 |
| spellingShingle | Binayak S. Choudhury P. N. Dutta A Generalisation of Contraction Principle in Metric Spaces Fixed Point Theory and Applications |
| title | A Generalisation of Contraction Principle in Metric Spaces |
| title_full | A Generalisation of Contraction Principle in Metric Spaces |
| title_fullStr | A Generalisation of Contraction Principle in Metric Spaces |
| title_full_unstemmed | A Generalisation of Contraction Principle in Metric Spaces |
| title_short | A Generalisation of Contraction Principle in Metric Spaces |
| title_sort | generalisation of contraction principle in metric spaces |
| url | http://dx.doi.org/10.1155/2008/406368 |
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