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A one-step implicit iterative process for a finite family of I-nonexpansive mappings in Kohlenbach hyperbolic spaces

ArticleAçık Erişim

Özet

The purpose of the present paper is threefold. First, to give definition of I-nonexpansive mappings in a Kohlenbach hyperbolic space. Second, to define a new one-step implicit iterative process. Finally, to establish strong and Δ -convergence theorems for this iterative process in a Kohlenbach hyperbolic space. In addition, an example is provided to validate our result. Our results extend some existing results. © 2016, The Author(s).

Anahtar Kelimeler

Common fixed pointI-nonexpansive mapImplicit iterative processKohlenbach hyperbolic spaceStrong convergenceΔ -convergence
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/14845Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1007/s40096-016-0178-9Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorGunduz, Birol
dc.contributor.authorAkbulut, Sezgin
dc.date.accessioned2026-10-18T20:29:38.620930328Z
dc.date.available2026-10-18T20:29:38.620930328Z
dc.date.issued2016
dc.description.abstractThe purpose of the present paper is threefold. First, to give definition of I-nonexpansive mappings in a Kohlenbach hyperbolic space. Second, to define a new one-step implicit iterative process. Finally, to establish strong and Δ -convergence theorems for this iterative process in a Kohlenbach hyperbolic space. In addition, an example is provided to validate our result. Our results extend some existing results. © 2016, The Author(s).
dc.identifier.doi10.1007/s40096-016-0178-9
dc.identifier.eissn2251-7456
dc.identifier.endpage61
dc.identifier.issn2008-1359
dc.identifier.issue1-2
dc.identifier.scopus2-s2.0-85008875488
dc.identifier.startpage55
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/14845
dc.identifier.volume10
dc.identifier.wosWOS:000383502500007
dc.language.isoen
dc.publisherSpringer Medizin
dc.relation.ispartofMathematical Sciences
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectCommon fixed point
dc.subjectI-nonexpansive map
dc.subjectImplicit iterative process
dc.subjectKohlenbach hyperbolic space
dc.subjectStrong convergence
dc.subjectΔ -convergence
dc.titleA one-step implicit iterative process for a finite family of I-nonexpansive mappings in Kohlenbach hyperbolic spaces
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus3
rdl.citation.wos3
rdl.oa.statusgold
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)