Coupled fixed point theorems in cone metric spaces with a <i>c</i>-distance and applications
| dc.contributor.author | Karapinar, Erdal | |
| dc.contributor.author | Kumam, Poom | |
| dc.contributor.author | Sintunavarat, Wutiphol | |
| dc.date.accessioned | 2024-07-05T15:10:21Z | |
| dc.date.available | 2024-07-05T15:10:21Z | |
| dc.date.issued | 2012 | |
| dc.description | KARAPINAR, ERDAL/0000-0002-6798-3254; Sintunavarat, Wutiphol/0000-0002-0932-1332; Kumam, Poom/0000-0002-5463-4581 | en_US |
| dc.description.abstract | In this paper, we extend the very recent result of Sintunavarat et al. in the paper 'Coupled fixed point theorems for weak contraction mapping under F-invariant set' (Abstr. Appl. Anal. 2012:324874, 2012). In particular, we give an example of a nonlinear contraction mapping for which our result successfully detects a coupled fixed point in contrast to the result of Sintunavarat et al., which is not applied to show the existence of a coupled fixed point. As a consequence, the main results in this paper extend and unify many results in the topic of coupled fixed points including the results of Sintunavarat et al. Also, some applications of the main results are given. MSC: 54H25, 47H10. | en_US |
| dc.description.sponsorship | Higher Education Research Promotion and National Research University Project of Thailand, Office of the Higher Education Commission | en_US |
| dc.description.sponsorship | This work was supported by the Higher Education Research Promotion and National Research University Project of Thailand, Office of the Higher Education Commission. The third author would like to thank the Research Professional Development Project under the Science Achievement Scholarship of Thailand (SAST). | en_US |
| dc.identifier.doi | 10.1186/1687-1812-2012-194 | |
| dc.identifier.issn | 1687-1812 | |
| dc.identifier.scopus | 2-s2.0-84873470239 | |
| dc.identifier.uri | https://doi.org/10.1186/1687-1812-2012-194 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/1311 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer international Publishing Ag | en_US |
| dc.relation.ispartof | Fixed Point Theory and Applications | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | coupled fixed point | en_US |
| dc.subject | F-invariant set | en_US |
| dc.subject | partially ordered cone metric space | en_US |
| dc.subject | c-distance | en_US |
| dc.title | Coupled fixed point theorems in cone metric spaces with a <i>c</i>-distance and applications | en_US |
| dc.type | Article | en_US |
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| gdc.author.id | KARAPINAR, ERDAL/0000-0002-6798-3254 | |
| gdc.author.id | Sintunavarat, Wutiphol/0000-0002-0932-1332 | |
| gdc.author.id | Kumam, Poom/0000-0002-5463-4581 | |
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| gdc.author.wosid | KARAPINAR, ERDAL/H-3177-2011 | |
| gdc.author.wosid | Sintunavarat, Wutiphol/AHE-9235-2022 | |
| gdc.author.wosid | Kumam, Poom/E-7122-2011 | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Kumam, Poom; Sintunavarat, Wutiphol] King Mongkuts Univ Technol Thonburi, Fac Sci, Dept Math, Bangkok 10140, Thailand; [Karapinar, Erdal] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.oaire.keywords | Cone Metric Spaces | |
| gdc.oaire.keywords | Mathematical analysis | |
| gdc.oaire.keywords | Fixed Point Theorems in Metric Spaces | |
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| gdc.oaire.keywords | Fixed point | |
| gdc.oaire.keywords | Invariant (physics) | |
| gdc.oaire.keywords | Discrete mathematics | |
| gdc.oaire.keywords | Coincidence point | |
| gdc.oaire.keywords | Contractive Mappings | |
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| gdc.oaire.keywords | Mathematical physics | |
| gdc.oaire.keywords | Physical Sciences | |
| gdc.oaire.keywords | Contraction (grammar) | |
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| gdc.oaire.keywords | Geometry and Topology | |
| gdc.oaire.keywords | Metric space | |
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| gdc.oaire.keywords | partially ordered cone metric space | |
| gdc.oaire.keywords | \(c\)-distance | |
| gdc.oaire.keywords | Fixed-point and coincidence theorems (topological aspects) | |
| gdc.oaire.keywords | \(F\)-invariant set | |
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| gdc.virtual.author | Karapınar, Erdal | |
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