Fixed Point Theorems in Cone Banach Spaces
| dc.contributor.author | Karapinar, Erdal | |
| dc.contributor.other | Mathematics | |
| dc.contributor.other | 02. School of Arts and Sciences | |
| dc.contributor.other | 01. Atılım University | |
| dc.date.accessioned | 2024-07-05T14:33:53Z | |
| dc.date.available | 2024-07-05T14:33:53Z | |
| dc.date.issued | 2009 | |
| dc.description | KARAPINAR, ERDAL/0000-0002-6798-3254 | en_US |
| dc.description.abstract | In this manuscript, a class of self-mappings on cone Banach spaces which have at least one fixed point is considered. More precisely, for a closed and convex subset C of a cone Banach space with the norm parallel to x parallel to(P) = d(x, 0), if there exist a, b, s and T : C -> C satisfies the conditions 0 <= s + vertical bar a vertical bar - 2b < 2(a + b) and 4ad(Tx, Ty) + b(d(x, Tx) + d(y, Ty)) <= sd(x, y) for all x, y is an element of C, then T has at least one Fixed point. Copyright (C) 2009 Erdal Karapinar. | en_US |
| dc.identifier.doi | 10.1155/2009/609281 | |
| dc.identifier.issn | 1687-1812 | |
| dc.identifier.scopus | 2-s2.0-77953229527 | |
| dc.identifier.uri | https://doi.org/10.1155/2009/609281 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/984 | |
| 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 | [No Keyword Available] | en_US |
| dc.title | Fixed Point Theorems in Cone Banach Spaces | en_US |
| dc.type | Article | en_US |
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| gdc.author.id | KARAPINAR, ERDAL/0000-0002-6798-3254 | |
| gdc.author.institutional | Karapınar, Erdal | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | Atilim Univ, Dept Math, TR-06836 Ankara, Turkey | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.volume | 2009 | |
| gdc.identifier.openalex | W2092191304 | |
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| gdc.oaire.keywords | Applied mathematics. Quantitative methods | |
| gdc.oaire.keywords | Applied Mathematics | |
| gdc.oaire.keywords | Geometry and Topology | |
| gdc.oaire.keywords | Analysis | |
| gdc.oaire.keywords | Normed linear spaces and Banach spaces; Banach lattices | |
| gdc.oaire.keywords | Fixed-point theorems | |
| gdc.oaire.keywords | Other ``topological'' linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than \(\mathbb{R}\), etc.) | |
| gdc.oaire.keywords | Fixed-point and coincidence theorems (topological aspects) | |
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