New Existence Results and Generalizations for Coincidence Points and Fixed Points without Global Completeness
Some new existence theorems concerning approximate coincidence point property and approximate fixed point property for nonlinear maps in metric spaces without global completeness are established in this paper. By exploiting these results, we prove some new coincidence point and fixed point theorems...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/214230 |
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| _version_ | 1832554535671824384 |
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| author | Wei-Shih Du |
| author_facet | Wei-Shih Du |
| author_sort | Wei-Shih Du |
| collection | DOAJ |
| description | Some new existence theorems concerning approximate coincidence point property and approximate fixed point property for nonlinear maps in metric spaces without global completeness are established in this paper. By exploiting these results, we prove some new coincidence point and fixed point theorems which generalize and improve Berinde-Berinde's fixed point theorem, Mizoguchi-Takahashi's fixed point theorem, Kikkawa-Suzuki's fixed point theorem, and some well known results in the literature. Moreover, some applications of our results to the existence of coupled coincidence point and coupled fixed point are also presented. |
| format | Article |
| id | doaj-art-eee93c2a82084c488146500f9bd634f9 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-eee93c2a82084c488146500f9bd634f92025-02-03T05:51:17ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/214230214230New Existence Results and Generalizations for Coincidence Points and Fixed Points without Global CompletenessWei-Shih Du0Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 824, TaiwanSome new existence theorems concerning approximate coincidence point property and approximate fixed point property for nonlinear maps in metric spaces without global completeness are established in this paper. By exploiting these results, we prove some new coincidence point and fixed point theorems which generalize and improve Berinde-Berinde's fixed point theorem, Mizoguchi-Takahashi's fixed point theorem, Kikkawa-Suzuki's fixed point theorem, and some well known results in the literature. Moreover, some applications of our results to the existence of coupled coincidence point and coupled fixed point are also presented.http://dx.doi.org/10.1155/2013/214230 |
| spellingShingle | Wei-Shih Du New Existence Results and Generalizations for Coincidence Points and Fixed Points without Global Completeness Abstract and Applied Analysis |
| title | New Existence Results and Generalizations for Coincidence Points and Fixed Points without Global Completeness |
| title_full | New Existence Results and Generalizations for Coincidence Points and Fixed Points without Global Completeness |
| title_fullStr | New Existence Results and Generalizations for Coincidence Points and Fixed Points without Global Completeness |
| title_full_unstemmed | New Existence Results and Generalizations for Coincidence Points and Fixed Points without Global Completeness |
| title_short | New Existence Results and Generalizations for Coincidence Points and Fixed Points without Global Completeness |
| title_sort | new existence results and generalizations for coincidence points and fixed points without global completeness |
| url | http://dx.doi.org/10.1155/2013/214230 |
| work_keys_str_mv | AT weishihdu newexistenceresultsandgeneralizationsforcoincidencepointsandfixedpointswithoutglobalcompleteness |