Some Generalizations of Fixed Point Theorems in Cone Metric Spaces
We generalize, extend, and improve some recent fixed point results in cone metric spaces including the results of H. Guang and Z. Xian (2007); P. Vetro (2007); M. Abbas and G. Jungck (2008); Sh. Rezapour and R. Hamlbarani (2008). In all our results, the normality assumption, which is a characteristi...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2009-01-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://dx.doi.org/10.1155/2009/657914 |
| _version_ | 1818891555578052608 |
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| author | J. O. Olaleru |
| author_facet | J. O. Olaleru |
| author_sort | J. O. Olaleru |
| collection | DOAJ |
| description | We generalize, extend, and improve some recent fixed point results in cone metric spaces including the results of H. Guang and Z. Xian (2007); P. Vetro (2007); M. Abbas and G. Jungck (2008); Sh. Rezapour and R. Hamlbarani (2008). In all our results, the normality assumption, which is a characteristic of most of the previous results, is dispensed. Consequently, the results generalize several fixed results in metric spaces including the results of G. E. Hardy and T. D. Rogers (1973), R. Kannan (1969), G. Jungck, S. Radenovic, S. Radojevic, and V. Rakocevic (2009), and all the references therein. |
| first_indexed | 2024-12-19T17:42:40Z |
| format | Article |
| id | doaj.art-968ef72831634f5090a1b558beacd465 |
| institution | Directory Open Access Journal |
| issn | 1687-1820 1687-1812 |
| language | English |
| last_indexed | 2024-12-19T17:42:40Z |
| publishDate | 2009-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Applications |
| spelling | doaj.art-968ef72831634f5090a1b558beacd4652022-12-21T20:12:11ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122009-01-01200910.1155/2009/657914Some Generalizations of Fixed Point Theorems in Cone Metric SpacesJ. O. OlaleruWe generalize, extend, and improve some recent fixed point results in cone metric spaces including the results of H. Guang and Z. Xian (2007); P. Vetro (2007); M. Abbas and G. Jungck (2008); Sh. Rezapour and R. Hamlbarani (2008). In all our results, the normality assumption, which is a characteristic of most of the previous results, is dispensed. Consequently, the results generalize several fixed results in metric spaces including the results of G. E. Hardy and T. D. Rogers (1973), R. Kannan (1969), G. Jungck, S. Radenovic, S. Radojevic, and V. Rakocevic (2009), and all the references therein.http://dx.doi.org/10.1155/2009/657914 |
| spellingShingle | J. O. Olaleru Some Generalizations of Fixed Point Theorems in Cone Metric Spaces Fixed Point Theory and Applications |
| title | Some Generalizations of Fixed Point Theorems in Cone Metric Spaces |
| title_full | Some Generalizations of Fixed Point Theorems in Cone Metric Spaces |
| title_fullStr | Some Generalizations of Fixed Point Theorems in Cone Metric Spaces |
| title_full_unstemmed | Some Generalizations of Fixed Point Theorems in Cone Metric Spaces |
| title_short | Some Generalizations of Fixed Point Theorems in Cone Metric Spaces |
| title_sort | some generalizations of fixed point theorems in cone metric spaces |
| url | http://dx.doi.org/10.1155/2009/657914 |
| work_keys_str_mv | AT joolaleru somegeneralizationsoffixedpointtheoremsinconemetricspaces |