Meir-Keeler Contractions of Integral Type Are Still Meir-Keeler Contractions
We prove that the recent fixed point theorem for contractions of integral type due to Branciari is a corollary of the famous Meir-Keeler fixed point theorem. We also prove that Meir-Keeler contractions of integral type are still Meir-Keeler contractions.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2007-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2007/39281 |
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| _version_ | 1849409603995959296 |
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| author | Tomonari Suzuki |
| author_facet | Tomonari Suzuki |
| author_sort | Tomonari Suzuki |
| collection | DOAJ |
| description | We prove that the recent fixed point theorem for contractions of integral type due to Branciari is a corollary of the famous Meir-Keeler fixed point theorem. We also prove that Meir-Keeler contractions of integral type are still Meir-Keeler contractions. |
| format | Article |
| id | doaj-art-7cab7ae3732741f08e894356c5f026d4 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-7cab7ae3732741f08e894356c5f026d42025-08-20T03:35:27ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252007-01-01200710.1155/2007/3928139281Meir-Keeler Contractions of Integral Type Are Still Meir-Keeler ContractionsTomonari Suzuki0Department of Mathematics, Kyushu Institute of Technology, Sensuicho, Tobata, Kitakyushu 804-8550, JapanWe prove that the recent fixed point theorem for contractions of integral type due to Branciari is a corollary of the famous Meir-Keeler fixed point theorem. We also prove that Meir-Keeler contractions of integral type are still Meir-Keeler contractions.http://dx.doi.org/10.1155/2007/39281 |
| spellingShingle | Tomonari Suzuki Meir-Keeler Contractions of Integral Type Are Still Meir-Keeler Contractions International Journal of Mathematics and Mathematical Sciences |
| title | Meir-Keeler Contractions of Integral Type Are Still Meir-Keeler Contractions |
| title_full | Meir-Keeler Contractions of Integral Type Are Still Meir-Keeler Contractions |
| title_fullStr | Meir-Keeler Contractions of Integral Type Are Still Meir-Keeler Contractions |
| title_full_unstemmed | Meir-Keeler Contractions of Integral Type Are Still Meir-Keeler Contractions |
| title_short | Meir-Keeler Contractions of Integral Type Are Still Meir-Keeler Contractions |
| title_sort | meir keeler contractions of integral type are still meir keeler contractions |
| url | http://dx.doi.org/10.1155/2007/39281 |
| work_keys_str_mv | AT tomonarisuzuki meirkeelercontractionsofintegraltypearestillmeirkeelercontractions |