Efficient Fixed-Point Iteration for Generalized Nonexpansive Mappings and Its Stability in Banach Spaces
| dc.contributor.author | Karapinar, Erdal | |
| dc.contributor.author | Hussain, Aftab | |
| dc.contributor.author | Cholamjiak, Prasit | |
| dc.contributor.author | Ali, Danish | |
| dc.date.accessioned | 2023-12-07T08:37:04Z | |
| dc.date.accessioned | 2025-09-18T14:10:11Z | |
| dc.date.available | 2023-12-07T08:37:04Z | |
| dc.date.available | 2025-09-18T14:10:11Z | |
| dc.date.issued | 2022 | |
| dc.description | Hussain, Aftab/0000-0002-7742-5993 | en_US |
| dc.description.abstract | The aim of this article is to design a new iteration process for solving certain fixed-point problems. In particular, we prove weak and strong convergence theorems for generalized nonexpansive mappings in the framework of uniformly convex Banach spaces. In addition, we discuss the stability of the solution under mild conditions. Further, we provide some numerical examples to indicate that the proposed method works properly. | en_US |
| dc.identifier.citation | Ali, Danish...et.al. (2023). "Efficient fixed-point iteration for generalized nonexpansive mappings and its stability in Banach spaces", Open Mathematics, Vol.20, No.1, pp.1753-1769. | en_US |
| dc.identifier.doi | 10.1515/math-2022-0461 | |
| dc.identifier.issn | 2391-5455 | |
| dc.identifier.scopus | 2-s2.0-85146137547 | |
| dc.identifier.uri | https://doi.org/10.1515/math-2022-0461 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13609 | |
| dc.language.iso | en | en_US |
| dc.publisher | de Gruyter Poland Sp Z O O | en_US |
| dc.relation.ispartof | Open Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fixed Point Problem | en_US |
| dc.subject | Generalized Nonexpansive Mapping | en_US |
| dc.subject | Uniformly Convex Banach Space | en_US |
| dc.subject | Iteration Process | en_US |
| dc.title | Efficient Fixed-Point Iteration for Generalized Nonexpansive Mappings and Its Stability in Banach Spaces | en_US |
| dc.title | Efficient fixed-point iteration for generalized nonexpansive mappings and its stability in Banach spaces | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Hussain, Aftab/0000-0002-7742-5993 | |
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| gdc.author.wosid | Cholamjiak, Prasit/N-2237-2019 | |
| gdc.author.wosid | Karapinar, Erdal/H-3177-2011 | |
| gdc.author.wosid | Hussain, Aftab/Aay-6134-2020 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Karapinar, Erdal] Thu Dau Mot Univ, Div Appl Math, Thu Dau Mot, Binh Duong Prov, Vietnam; [Karapinar, Erdal] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan; [Karapinar, Erdal] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey; [Ali, Danish] Khawaja Fareed Univ Engn & Technol, Dept Math, Fac Nat Sci, Rahim Yar Khan 64100, Pakistan; [Hussain, Aftab] King Abdulaziz Univ, Dept Math, POB 80203, Jeddah 80203, Saudi Arabia; [Cholamjiak, Prasit] Univ Phayao, Sch Sci, Phayao, Thailand | en_US |
| gdc.description.endpage | 1769 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 1753 | en_US |
| gdc.description.volume | 20 | en_US |
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| gdc.oaire.keywords | generalized nonexpansive mapping | |
| gdc.oaire.keywords | Convex Optimization | |
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| gdc.oaire.keywords | Fixed Point Theorems in Metric Spaces | |
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| gdc.oaire.keywords | Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. | |
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