Fixed points for cyclic orbital generalized contractions on complete metric spaces
| dc.contributor.author | Karapinar, Erdal | |
| dc.contributor.author | Romaguera, Salvador | |
| dc.contributor.author | Tas, Kenan | |
| dc.date.accessioned | 2024-07-05T14:29:08Z | |
| dc.date.available | 2024-07-05T14:29:08Z | |
| dc.date.issued | 2013 | |
| dc.description | Tas, Kenan/0000-0001-8173-453X; KARAPINAR, ERDAL/0000-0002-6798-3254; Romaguera, Salvador/0000-0001-7857-6139; | en_US |
| dc.description.abstract | We prove a fixed point theorem for cyclic orbital generalized contractions on complete metric spaces from which we deduce, among other results, generalized cyclic versions of the celebrated Boyd and Wong fixed point theorem, and Matkowski fixed point theorem. This is done by adapting to the cyclic framework a condition of Meir-Keeler type discussed in [Jachymski J., Equivalent conditions and the Meir-Keeler type theorems, J. Math. Anal. Appl., 1995, 194(1), 293-303]. Our results generalize some theorems of Kirk, Srinavasan and Veeramani, and of Karpagam and Agrawal. | en_US |
| dc.description.sponsorship | Spanish Ministry of Science and Technology [MTM2009-12872-C02-01] | en_US |
| dc.description.sponsorship | The authors are very grateful to the referee since his/her corrections and suggestions have fairly improved the first version of the paper. Salvador Romaguera also acknowledges the support of the Spanish Ministry of Science and Technology, grant MTM2009-12872-C02-01. | en_US |
| dc.identifier.doi | 10.2478/s11533-012-0145-0 | |
| dc.identifier.issn | 1895-1074 | |
| dc.identifier.issn | 1644-3616 | |
| dc.identifier.issn | 2391-5455 | |
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| dc.identifier.uri | https://doi.org/10.2478/s11533-012-0145-0 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/456 | |
| dc.language.iso | en | en_US |
| dc.publisher | de Gruyter Open Ltd | en_US |
| dc.relation.ispartof | Open Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fixed point | en_US |
| dc.subject | Cyclic generalized contraction | en_US |
| dc.subject | Complete metric space | en_US |
| dc.title | Fixed points for cyclic orbital generalized contractions on complete metric spaces | en_US |
| dc.type | Article | en_US |
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| gdc.author.id | Tas, Kenan/0000-0001-8173-453X | |
| gdc.author.id | KARAPINAR, ERDAL/0000-0002-6798-3254 | |
| gdc.author.id | Romaguera, Salvador/0000-0001-7857-6139 | |
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| gdc.author.wosid | Tas, Kenan/AHD-8132-2022 | |
| gdc.author.wosid | Tas, Kenan/D-8441-2011 | |
| gdc.author.wosid | KARAPINAR, ERDAL/H-3177-2011 | |
| gdc.author.wosid | Romaguera, Salvador/H-1392-2015 | |
| gdc.author.wosid | Romaguera, Salvador/GPJ-9740-2022 | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Karapinar, Erdal] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey; [Romaguera, Salvador] Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada, Valencia 46022, Spain; [Tas, Kenan] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey | en_US |
| gdc.description.endpage | 560 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 552 | en_US |
| gdc.description.volume | 11 | en_US |
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