An Illusion: “A Suzuki Type Coupled Fixed Point Theorem”
We admonish to be careful on studying coupled fixed point theorems since most of the reported fixed point results can be easily derived from the existing corresponding theorems in the literature. In particular, we notice that the recent paper [Semwal and Dimri (2014)] has gaps and the announced resu...
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| Main Authors: | , , , |
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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/10.1155/2014/235731 |
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| author | Hamed H. Alsulami Erdal Karapınar Marwan A. Kutbi Antonio-Francisco Roldán-López-de-Hierro |
| author_facet | Hamed H. Alsulami Erdal Karapınar Marwan A. Kutbi Antonio-Francisco Roldán-López-de-Hierro |
| author_sort | Hamed H. Alsulami |
| collection | DOAJ |
| description | We admonish to be careful on studying coupled fixed point theorems since most of the reported fixed point results can be easily derived from the existing corresponding theorems in the literature. In particular, we notice that the recent paper [Semwal and Dimri (2014)] has gaps and the announced result is false. The authors claimed that their result generalized the main result in [Ðoric and Lazović (2011)] but, in fact, the contrary case is true. Finally, we present a fixed point theorem for Suzuki type (α, r)-admissible contractions. |
| format | Article |
| id | doaj-art-13ef5710c0014e6db0d7e78d81af701d |
| 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-13ef5710c0014e6db0d7e78d81af701d2025-02-03T01:08:50ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/235731235731An Illusion: “A Suzuki Type Coupled Fixed Point Theorem”Hamed H. Alsulami0Erdal Karapınar1Marwan A. Kutbi2Antonio-Francisco Roldán-López-de-Hierro3Nonlinear Analysis and Applied Mathematics Research Group (NAAM), King Abdulaziz University, Jeddah, Saudi ArabiaNonlinear Analysis and Applied Mathematics Research Group (NAAM), King Abdulaziz University, Jeddah, Saudi ArabiaDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaUniversity of Jaén, Campus las Lagunillas s/n, 23071 Jaén, SpainWe admonish to be careful on studying coupled fixed point theorems since most of the reported fixed point results can be easily derived from the existing corresponding theorems in the literature. In particular, we notice that the recent paper [Semwal and Dimri (2014)] has gaps and the announced result is false. The authors claimed that their result generalized the main result in [Ðoric and Lazović (2011)] but, in fact, the contrary case is true. Finally, we present a fixed point theorem for Suzuki type (α, r)-admissible contractions.http://dx.doi.org/10.1155/2014/235731 |
| spellingShingle | Hamed H. Alsulami Erdal Karapınar Marwan A. Kutbi Antonio-Francisco Roldán-López-de-Hierro An Illusion: “A Suzuki Type Coupled Fixed Point Theorem” Abstract and Applied Analysis |
| title | An Illusion: “A Suzuki Type Coupled Fixed Point Theorem” |
| title_full | An Illusion: “A Suzuki Type Coupled Fixed Point Theorem” |
| title_fullStr | An Illusion: “A Suzuki Type Coupled Fixed Point Theorem” |
| title_full_unstemmed | An Illusion: “A Suzuki Type Coupled Fixed Point Theorem” |
| title_short | An Illusion: “A Suzuki Type Coupled Fixed Point Theorem” |
| title_sort | illusion a suzuki type coupled fixed point theorem |
| url | http://dx.doi.org/10.1155/2014/235731 |
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