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Convergence of a new multistep iteration in convex cone metric spaces

ArticleAçık Erişim

Özet

In this paper, we propose a new multistep iteration for a finite family of asymptotically quasi-nonexpansive mappings in convex cone metric spaces. Then we show that our iteration converges to a common fixed point of this class of mappings under suitable conditions. Our result generalizes the corresponding result of Lee [5] from the closed convex subset of a convex cone metric space to whole space. © 2017 Korean Mathematical Society.

Anahtar Kelimeler

Asymptotically quasi-nonexpansive mappingsCommon fixed pointCone metric spacesConvex metric spacesStrong convergence
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/14989Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.4134/ckms.c160005Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorGunduz, Birol
dc.date.accessioned2026-10-18T20:29:47.213215769Z
dc.date.available2026-10-18T20:29:47.213215769Z
dc.date.issued2017
dc.description.abstractIn this paper, we propose a new multistep iteration for a finite family of asymptotically quasi-nonexpansive mappings in convex cone metric spaces. Then we show that our iteration converges to a common fixed point of this class of mappings under suitable conditions. Our result generalizes the corresponding result of Lee [5] from the closed convex subset of a convex cone metric space to whole space. © 2017 Korean Mathematical Society.
dc.identifier.doi10.4134/ckms.c160005
dc.identifier.eissn2234-3024
dc.identifier.endpage46
dc.identifier.issn1225-1763
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85010375992
dc.identifier.startpage39
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/14989
dc.identifier.volume32
dc.identifier.wosWOS:000401252600005
dc.language.isoen
dc.publisherKorean Mathematical Society
dc.relation.ispartofCommunications of the Korean Mathematical Society
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectAsymptotically quasi-nonexpansive mappings
dc.subjectCommon fixed point
dc.subjectCone metric spaces
dc.subjectConvex metric spaces
dc.subjectStrong convergence
dc.titleConvergence of a new multistep iteration in convex cone metric spaces
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus0
rdl.citation.wos1
rdl.oa.statusopen
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)