Best Proximity Point Results for Contractive and Cyclic Contractive Type Mappings
| dc.contributor.author | Karapinar, Erdal | |
| dc.contributor.author | Kanta Dey, Lakshmi | |
| dc.contributor.author | Hiranmoy, Garai | |
| dc.contributor.authorID | 19184 | tr_TR |
| dc.contributor.other | 02.02. Matematik | |
| dc.contributor.other | 02. Fen-Edebiyat Fakültesi | |
| dc.contributor.other | 01. Çankaya Üniversitesi | |
| dc.date.accessioned | 2022-03-23T11:56:35Z | |
| dc.date.accessioned | 2025-09-18T16:08:30Z | |
| dc.date.available | 2022-03-23T11:56:35Z | |
| dc.date.available | 2025-09-18T16:08:30Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | The essential importance of the best proximity point theory is that "best proximity point theory" appears in the coincidence of "metric fixed point theory" and "optimization theory." So finding best proximity points of mappings satisfying different type of contractive conditions in different structures is one of the fascinating research topics. For this, in this article, we first introduce a new type of proximal property of a pair of subsets of a metric space, which we designate as proximal weakly compact pair. After this, we come up with some new type of proximal contractive and proximal cyclic contractive mappings. Then we investigate the existence of best proximity point(s) in these newly originated mappings in the setting of proximal weakly compact pair of subsets in a metric space. | en_US |
| dc.description.publishedMonth | 7 | |
| dc.description.sponsorship | CSIR JRF fellowship scheme [09/973(0018)/2017EMR-I] | en_US |
| dc.description.sponsorship | This work was supported by CSIR JRF fellowship scheme (Award no. 09/973(0018)/2017EMR-I). | en_US |
| dc.identifier.citation | Hiranmoy, Garai; Karapınar, Erdal; Kanta Dey, Lakshmi (2021). "Best Proximity Point Results for Contractive and Cyclic Contractive Type Mappings", Numerical Functional Analysis and Optimization, Vol. 42, No. 7, pp. 849-864. | en_US |
| dc.identifier.doi | 10.1080/01630563.2021.1933518 | |
| dc.identifier.issn | 0163-0563 | |
| dc.identifier.issn | 1532-2467 | |
| dc.identifier.scopus | 2-s2.0-85107396679 | |
| dc.identifier.uri | https://doi.org/10.1080/01630563.2021.1933518 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/15058 | |
| dc.language.iso | en | en_US |
| dc.publisher | Taylor & Francis inc | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Proximal Chatterjea Type Contractive Mapping | en_US |
| dc.subject | Proximal Kannan Type Contractive Mapping | en_US |
| dc.subject | Best Proximity Point | en_US |
| dc.subject | Compact Weakly Proximal Pair | en_US |
| dc.subject | Cyclic Mapping | en_US |
| dc.title | Best Proximity Point Results for Contractive and Cyclic Contractive Type Mappings | en_US |
| dc.title | Best Proximity Point Results for Contractive and Cyclic Contractive Type Mappings | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Karapınar, Erdal | |
| gdc.author.scopusid | 57224350482 | |
| gdc.author.scopusid | 16678995500 | |
| gdc.author.scopusid | 35271496100 | |
| gdc.author.wosid | Karapinar, Erdal/H-3177-2011 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Hiranmoy, Garai; Kanta Dey, Lakshmi] Natl Inst Technol Durgapur, Dept Math, Durgapur, India; [Karapinar, Erdal] Thu Dau Mot Univ, Div Appl Math, Thu Dau Mot, Vietnam; [Karapinar, Erdal] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan; [Karapinar, Erdal] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey | en_US |
| gdc.description.endpage | 864 | en_US |
| gdc.description.issue | 7 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 849 | en_US |
| gdc.description.volume | 42 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q3 | |
| gdc.identifier.openalex | W3169406766 | |
| gdc.identifier.wos | WOS:000656802200001 | |
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| gdc.openalex.normalizedpercentile | 0.9 | |
| gdc.opencitations.count | 5 | |
| gdc.plumx.crossrefcites | 1 | |
| gdc.plumx.facebookshareslikecount | 106 | |
| gdc.plumx.scopuscites | 9 | |
| gdc.scopus.citedcount | 9 | |
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