A Note on Best Proximity Point Theorems under Weak P-Property
In the very recent paper of Akbar and Gabeleh (2013), by using the notion of P-property, it was proved that some late results about the existence and uniqueness of best proximity points can be obtained from the versions of associated existing results in the fixed point theory. Along the same line,...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/716825 |
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| _version_ | 1832568359926890496 |
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| author | Angel Almeida Erdal Karapınar Kishin Sadarangani |
| author_facet | Angel Almeida Erdal Karapınar Kishin Sadarangani |
| author_sort | Angel Almeida |
| collection | DOAJ |
| description | In the very recent paper of Akbar and Gabeleh (2013), by using the notion of P-property, it was proved that some late results about the existence and uniqueness of best proximity points can be obtained from the versions of associated existing results in the fixed point theory. Along the same line, in this paper, we prove that these results can be obtained under a weaker condition, namely, weak P-property. |
| format | Article |
| id | doaj-art-59619aa171474e4c9bc6ab1fb2bba320 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-59619aa171474e4c9bc6ab1fb2bba3202025-02-03T00:59:12ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/716825716825A Note on Best Proximity Point Theorems under Weak P-PropertyAngel Almeida0Erdal Karapınar1Kishin Sadarangani2Departamento de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, SpainDepartment of Mathematics, Atilim University, Incek, 06836 Ankara, TurkeyDepartamento de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, SpainIn the very recent paper of Akbar and Gabeleh (2013), by using the notion of P-property, it was proved that some late results about the existence and uniqueness of best proximity points can be obtained from the versions of associated existing results in the fixed point theory. Along the same line, in this paper, we prove that these results can be obtained under a weaker condition, namely, weak P-property.http://dx.doi.org/10.1155/2014/716825 |
| spellingShingle | Angel Almeida Erdal Karapınar Kishin Sadarangani A Note on Best Proximity Point Theorems under Weak P-Property Abstract and Applied Analysis |
| title | A Note on Best Proximity Point Theorems under Weak P-Property |
| title_full | A Note on Best Proximity Point Theorems under Weak P-Property |
| title_fullStr | A Note on Best Proximity Point Theorems under Weak P-Property |
| title_full_unstemmed | A Note on Best Proximity Point Theorems under Weak P-Property |
| title_short | A Note on Best Proximity Point Theorems under Weak P-Property |
| title_sort | note on best proximity point theorems under weak p property |
| url | http://dx.doi.org/10.1155/2014/716825 |
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