Mann and Ishikawa Iterative Processes for Cyclic Relatively Nonexpansive Mappings in Uniformly Convex Banach Spaces
| dc.authorid | Gabeleh, Moosa/0000-0001-5439-1631 | |
| dc.authorscopusid | 57223339395 | |
| dc.authorscopusid | 36486280100 | |
| dc.authorscopusid | 16678995500 | |
| dc.authorwosid | Aliyari, Marjan/Abe-5361-2021 | |
| dc.authorwosid | Gabeleh, Moosa/R-6255-2019 | |
| dc.authorwosid | Karapinar, Erdal/H-3177-2011 | |
| dc.authorwosid | Gabeleh, Moosa/Q-5743-2016 | |
| dc.contributor.author | Aliyari, M. | |
| dc.contributor.author | Gabeleh, M. | |
| dc.contributor.author | Karapinar, E. | |
| dc.contributor.other | Matematik | |
| dc.date.accessioned | 2025-05-13T13:38:33Z | |
| dc.date.available | 2025-05-13T13:38:33Z | |
| dc.date.issued | 2021 | |
| dc.department | Çankaya University | en_US |
| dc.department-temp | Aliyari M., Department of Mathematics, Ayatollah Boroujerdi University, Boroujerd, Iran; Gabeleh M., Department of Mathematics, Ayatollah Boroujerdi University, Boroujerd, Iran; Karapinar E., Division of Applied Mathematics, Thu Dau Mot University, Binh Duong Province, Viet Nam, Department of Mathematics, Cankaya University, Etimesgut, Ankara, 06790, Turkey, Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, 40402, Taiwan | en_US |
| dc.description | Gabeleh, Moosa/0000-0001-5439-1631 | en_US |
| dc.description.abstract | In this manuscript, we study the convergence of best proximity points for cyclic relatively nonexpansive mappings in the setting of uniformly convex Banach spaces by using a projection operator defined on proximal pairs. To this end, we consider the Mann and Ishikawa iteration schemes and obtain strong convergence results for cyclic relatively nonexpansive mappings. A nu¬merical example is presented to support the main result. We then discuss on noncyclic version of relatively nonexpansive mappings in order to study some convergence conclusions in both uniformly convex Banach spaces and Hilbert spaces. © 2021 Yokohama Publications. All rights reserved. | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.endpage | 713 | en_US |
| dc.identifier.issn | 1345-4773 | |
| dc.identifier.issn | 1880-5221 | |
| dc.identifier.issue | 4 | en_US |
| dc.identifier.scopus | 2-s2.0-85105664513 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.startpage | 699 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/9946 | |
| dc.identifier.volume | 22 | en_US |
| dc.identifier.wos | WOS:000647699400003 | |
| dc.identifier.wosquality | Q2 | |
| dc.institutionauthor | Karapınar, Erdal | |
| dc.language.iso | en | en_US |
| dc.publisher | Yokohama Publications | en_US |
| dc.relation.ispartof | Journal of Nonlinear and Convex Analysis | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.scopus.citedbyCount | 12 | |
| dc.subject | And Phrases. Best Proximity Point | en_US |
| dc.subject | Cyclic Relatively Nonexpansive | en_US |
| dc.subject | Iterative Sequence | en_US |
| dc.subject | Uniformly Convex Banach Space | en_US |
| dc.title | Mann and Ishikawa Iterative Processes for Cyclic Relatively Nonexpansive Mappings in Uniformly Convex Banach Spaces | en_US |
| dc.type | Article | en_US |
| dc.wos.citedbyCount | 11 | |
| dspace.entity.type | Publication | |
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