A Note on Caristi-Type Cyclic Maps: Related Results and Applications
| dc.contributor.author | Du, Wei-Shih | |
| 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 | 2024-07-05T14:26:08Z | |
| dc.date.available | 2024-07-05T14:26:08Z | |
| dc.date.issued | 2013 | |
| dc.description | KARAPINAR, ERDAL/0000-0002-6798-3254 | en_US |
| dc.description.abstract | In this note, we first introduce the concept of Caristi-type cyclic map and present a new convergence theorem and a best proximity point theorem for Caristi-type cyclic maps. It should be mentioned that in our results, the dominated functions need not possess the lower semicontinuity property. Some best proximity point results and convergence theorems in the literature have been derived from our main results. Consequently, the presented results improve, extend and generalize some of the existence results on the topic. | en_US |
| dc.description.sponsorship | National Science Council of the Republic of China [NSC 102-2115-M-017-001] | en_US |
| dc.description.sponsorship | The first author was supported by Grant No. NSC 102-2115-M-017-001 of the National Science Council of the Republic of China. | en_US |
| dc.identifier.doi | 10.1186/1687-1812-2013-344 | |
| dc.identifier.issn | 1687-1812 | |
| dc.identifier.scopus | 2-s2.0-84896460341 | |
| dc.identifier.uri | https://doi.org/10.1186/1687-1812-2013-344 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/106 | |
| 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 | best proximity point | en_US |
| dc.subject | Caristi-type cyclic map | en_US |
| dc.subject | MT-function (R-function) | en_US |
| dc.subject | MT-cyclic contraction | en_US |
| dc.subject | Caristi-type fixed point theorem | en_US |
| dc.title | A Note on Caristi-Type Cyclic Maps: Related Results and Applications | 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 | [Du, Wei-Shih] Natl Kaohsiung Normal Univ, Dept Math, Kaohsiung 824, Taiwan; [Karapinar, Erdal] Atilim Univ, Dept Math, Ankara, Turkey | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2013 | |
| gdc.identifier.openalex | W2099899227 | |
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| gdc.oaire.keywords | best proximity point Caristi-type cyclic map;-function (?-function);-cyclic contraction;Caristi-type fixed point theorem | |
| gdc.oaire.keywords | Applied Mathematics | |
| gdc.oaire.keywords | Geometry and Topology | |
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