Convergence Theorems with a Faster Iteration Process for Suzuki’s Generalized Non-expansive Mapping with Numerical Examples
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Özet
In this paper firstly, we compared rates of convergences of some iteration processes which converge faster than Picard, Mann, Ishikawa and S-iteration processes. Then, we proved some strong and weak convergence theorems for the fastest iteration process for Suzuki’s generalized non-expansive mapping in Banach spaces. We also supported our theoretical findings via numerical examples.
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https://rdlopen.rawdatalibrary.net/r/ebyu/18717Resmi atıflarda kullanılan kalıcı adresTam Kayıt
| Alan | Değer | Dil |
|---|---|---|
| dc.contributor.author | GUNDUZ, Birol | |
| dc.contributor.author | Alagöz, Osman | |
| dc.contributor.author | AKBULUT, Sezgin | |
| dc.date.accessioned | 2026-10-18T20:56:42.793883970Z | |
| dc.date.available | 2026-10-18T20:56:42.793883970Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | In this paper firstly, we compared rates of convergences of some iteration processes which converge faster than Picard, Mann, Ishikawa and S-iteration processes. Then, we proved some strong and weak convergence theorems for the fastest iteration process for Suzuki’s generalized non-expansive mapping in Banach spaces. We also supported our theoretical findings via numerical examples. | |
| dc.identifier.eissn | 2149-4584 | |
| dc.identifier.endpage | 174 | |
| dc.identifier.issn | 1307-9085 | |
| dc.identifier.issue | Özel Sayı - 1 | |
| dc.identifier.startpage | 162 | |
| dc.identifier.uri | https://rdlopen.rawdatalibrary.net/r/ebyu/18717 | |
| dc.identifier.volume | 13 | |
| dc.language.iso | en | |
| dc.relation.ispartof | Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | Matematik | |
| dc.title | Convergence Theorems with a Faster Iteration Process for Suzuki’s Generalized Non-expansive Mapping with Numerical Examples | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
| rdl.citation.trdizin | 0 | |
| rdl.department | ERZİNCAN BİNALİ YILDIRIM ÜNİVERSİTESİ | |
| rdl.department | BİLECİK ŞEYH EDEBALİ ÜNİVERSİTESİ | |
| rdl.department | ATATÜRK ÜNİVERSİTESİ | |
| rdl.source.index | TRDIZIN |