A Best Proximity Point Result in Modular Spaces with the Fatou Property
| dc.authorid | KARAPINAR, ERDAL/0000-0002-6798-3254 | |
| dc.authorid | Jleli, Mohamed/0000-0002-6095-5875 | |
| dc.authorid | Samet, Bessem/0000-0002-6769-3417 | |
| dc.authorscopusid | 23012064600 | |
| dc.authorscopusid | 16678995500 | |
| dc.authorscopusid | 55884062400 | |
| dc.authorwosid | KARAPINAR, ERDAL/H-3177-2011 | |
| dc.authorwosid | , Bessem/AFP-9481-2022 | |
| dc.authorwosid | Jleli, Mohamed/D-5799-2015 | |
| dc.authorwosid | Samet, Bessem/D-3465-2015 | |
| dc.contributor.author | Jleli, Mohamed | |
| dc.contributor.author | Karapinar, Erdal | |
| dc.contributor.author | Samet, Bessem | |
| dc.contributor.other | Mathematics | |
| dc.date.accessioned | 2024-07-05T14:27:41Z | |
| dc.date.available | 2024-07-05T14:27:41Z | |
| dc.date.issued | 2013 | |
| dc.department | Atılım University | en_US |
| dc.department-temp | [Jleli, Mohamed; Samet, Bessem] King Saud Univ, Dept Math, Riyadh, Saudi Arabia; [Karapinar, Erdal] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey | en_US |
| dc.description | KARAPINAR, ERDAL/0000-0002-6798-3254; Jleli, Mohamed/0000-0002-6095-5875; Samet, Bessem/0000-0002-6769-3417 | en_US |
| dc.description.abstract | Consider a nonself-mapping T: A -> B, where (A, B) is a pair of nonempty subsets of a modular space. X-rho. A best proximity point of T is a point z is an element of A satisfying the condition: rho(z - Tz) = inf {rho(x-y) : (x,y) is an element of A x B}. In this paper, we introduce the class of proximal quasicontraction nonself-mappings in modular spaces with the Fatou property. For such mappings, we provide sufficient conditions assuring the existence and uniqueness of best proximity points. | en_US |
| dc.description.sponsorship | Research Center, College of Science, King Saud University | en_US |
| dc.description.sponsorship | This work is supported by the Research Center, College of Science, King Saud University. | en_US |
| dc.identifier.citationcount | 14 | |
| dc.identifier.doi | 10.1155/2013/329451 | |
| dc.identifier.issn | 1085-3375 | |
| dc.identifier.issn | 1687-0409 | |
| dc.identifier.scopus | 2-s2.0-84885641642 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.uri | https://doi.org/10.1155/2013/329451 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/289 | |
| dc.identifier.wos | WOS:000325280100001 | |
| dc.institutionauthor | Karapınar, Erdal | |
| dc.language.iso | en | en_US |
| dc.publisher | Hindawi Ltd | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.scopus.citedbyCount | 21 | |
| dc.subject | [No Keyword Available] | en_US |
| dc.title | A Best Proximity Point Result in Modular Spaces with the Fatou Property | en_US |
| dc.type | Article | en_US |
| dc.wos.citedbyCount | 15 | |
| dspace.entity.type | Publication | |
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