On Best Proximity Point Results for Some Type of Mappings
In this paper, we give new conditions for existence and uniqueness of a best proximity point for Geraghty- and Caristi-type mappings. The presented results are most valuable generalizations of the Geraghty and Caristi fixed point theorems.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/6298138 |
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| _version_ | 1849434919483211776 |
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| author | Vahid Parvaneh Mohammad Reza Haddadi Hassen Aydi |
| author_facet | Vahid Parvaneh Mohammad Reza Haddadi Hassen Aydi |
| author_sort | Vahid Parvaneh |
| collection | DOAJ |
| description | In this paper, we give new conditions for existence and uniqueness of a best proximity point for Geraghty- and Caristi-type mappings. The presented results are most valuable generalizations of the Geraghty and Caristi fixed point theorems. |
| format | Article |
| id | doaj-art-de05e9acfe454592a7c9dee629f1ba67 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-de05e9acfe454592a7c9dee629f1ba672025-08-20T03:26:29ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/62981386298138On Best Proximity Point Results for Some Type of MappingsVahid Parvaneh0Mohammad Reza Haddadi1Hassen Aydi2Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, VietnamDepartment of Mathematics, Ayatollah Boroujerdi University, Boroujerd, IranUniversité de Sousse, Institut Supérieur d’Informatique et des Techniques de Communication, H. Sousse 4000, TunisiaIn this paper, we give new conditions for existence and uniqueness of a best proximity point for Geraghty- and Caristi-type mappings. The presented results are most valuable generalizations of the Geraghty and Caristi fixed point theorems.http://dx.doi.org/10.1155/2020/6298138 |
| spellingShingle | Vahid Parvaneh Mohammad Reza Haddadi Hassen Aydi On Best Proximity Point Results for Some Type of Mappings Journal of Function Spaces |
| title | On Best Proximity Point Results for Some Type of Mappings |
| title_full | On Best Proximity Point Results for Some Type of Mappings |
| title_fullStr | On Best Proximity Point Results for Some Type of Mappings |
| title_full_unstemmed | On Best Proximity Point Results for Some Type of Mappings |
| title_short | On Best Proximity Point Results for Some Type of Mappings |
| title_sort | on best proximity point results for some type of mappings |
| url | http://dx.doi.org/10.1155/2020/6298138 |
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