Convergence Theorems with a Faster Iteration Process for Suzuki’s Generalized Non-expansive Mapping with Numerical Examples

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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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dc.contributor.authorGunduz, Birol
dc.contributor.authorAlagöz, Osman
dc.contributor.authorAkbulut, Sezgin
dc.date.accessioned2026-10-20T11:00:18.383729467Z
dc.date.available2026-10-20T11:00:18.383729467Z
dc.date.issued2020
dc.description.abstractIn 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.eissn2149-4584
dc.identifier.endpage174
dc.identifier.issn1307-9085
dc.identifier.issueÖzel Sayı - 1
dc.identifier.startpage162
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/20942
dc.identifier.volume13
dc.language.isoen
dc.relation.ispartofErzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectMatematik
dc.titleConvergence Theorems with a Faster Iteration Process for Suzuki’s Generalized Non-expansive Mapping with Numerical Examples
dc.typeArticle
dspace.entity.typePublication
rdl.citation.trdizin0
rdl.source.indexTRDIZIN