Existence and Uniqueness of Best Proximity Points Under Rational Contractivity Conditions
| dc.contributor.author | Karapinar, Erdal | |
| dc.contributor.author | Roldan-Lopez-de-Hierro, Antonio-Francisco | |
| dc.contributor.author | Sadarangani, Kishin | |
| dc.date.accessioned | 2024-07-05T14:31:21Z | |
| dc.date.available | 2024-07-05T14:31:21Z | |
| dc.date.issued | 2016 | |
| dc.description | KARAPINAR, ERDAL/0000-0002-6798-3254; Roldán López de Hierro, Antonio Francisco/0000-0002-6956-4328 | en_US |
| dc.description.abstract | The main aim of this paper is to present some theorems in order to guarantee existence and uniqueness of best proximity points under rational contractivity conditions using very general test functions. To illustrate the variety of possible test functions, we include some examples of pairs of functions which are included in innovative papers published in the last years. As a consequence, we prove that our results unify and extend some recent results in this field. | en_US |
| dc.description.sponsorship | Junta de Andalucia of the Andalusian CICYE [FQM-268] | en_US |
| dc.description.sponsorship | The second author has been partially supported by Junta de Andalucia by project FQM-268 of the Andalusian CICYE. | en_US |
| dc.identifier.doi | 10.1515/ms-2016-0234 | |
| dc.identifier.issn | 0139-9918 | |
| dc.identifier.issn | 1337-2211 | |
| dc.identifier.scopus | 2-s2.0-85014660977 | |
| dc.identifier.uri | https://doi.org/10.1515/ms-2016-0234 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/659 | |
| dc.language.iso | en | en_US |
| dc.publisher | Walter de Gruyter Gmbh | en_US |
| dc.relation.ispartof | Mathematica Slovaca | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | best proximity point | en_US |
| dc.subject | fixed point | en_US |
| dc.subject | rational contractive condition | en_US |
| dc.subject | P-property | en_US |
| dc.subject | weak P-property | en_US |
| dc.title | Existence and Uniqueness of Best Proximity Points Under Rational Contractivity Conditions | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | KARAPINAR, ERDAL/0000-0002-6798-3254 | |
| gdc.author.id | Roldán López de Hierro, Antonio Francisco/0000-0002-6956-4328 | |
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| gdc.author.wosid | KARAPINAR, ERDAL/H-3177-2011 | |
| gdc.author.wosid | Roldán López de Hierro, Antonio Francisco/N-7880-2013 | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Karapinar, Erdal] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey; [Karapinar, Erdal] King Abdulaziz Univ, Nonlinear Anal & Appl Math Res Grp NAAM, Jeddah, Saudi Arabia; [Roldan-Lopez-de-Hierro, Antonio-Francisco] Univ Jaen, Dept Math, Campus Lagunillas S-N, Jaen 23071, Spain; [Sadarangani, Kishin] Univ Las Palmas Gran Canaria, Dept Math, Campus Univ Tafira, Las Palmas Gran Canaria 35017, Spain | en_US |
| gdc.description.endpage | 1442 | en_US |
| gdc.description.issue | 6 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 1427 | en_US |
| gdc.description.volume | 66 | en_US |
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| gdc.oaire.keywords | 12 Matemáticas | |
| gdc.oaire.keywords | Best proximity point | |
| gdc.oaire.keywords | Rational contractive condition | |
| gdc.oaire.keywords | Weak P-property | |
| gdc.oaire.keywords | Fixed point | |
| gdc.oaire.keywords | P-property | |
| gdc.oaire.keywords | Fixed-point and coincidence theorems (topological aspects) | |
| gdc.oaire.keywords | best proximity point | |
| gdc.oaire.keywords | rational contractive condition | |
| gdc.oaire.keywords | weak \(P\)-property | |
| gdc.oaire.keywords | \(P\)-property | |
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| gdc.virtual.author | Karapınar, Erdal | |
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