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Strong and δ-convergence theorems in hyperbolic spaces

ArticleAçık Erişim

Özet

In this paper, we prove some strong and δ-convergence theorems for two finite families of nonexpansive maps on a hyperbolic space. Our iterative scheme is independent and simpler than the Ishikawa type iteration process. Our results refine and generalize several recent and comparable results in uniformly convex Banach spaces as well as CAT(0) spaces. © 2013 Miskolc University Press.

Anahtar Kelimeler

Common fixed pointKohlenbach hyperbolic spaceNonexpansive mapStrong convergenceδ-convergence
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/15718Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.18514/mmn.2013.782Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorGunduz, Birol
dc.contributor.authorAkbulut, Sezgin
dc.date.accessioned2026-10-18T20:30:34.068196908Z
dc.date.available2026-10-18T20:30:34.068196908Z
dc.date.issued2013
dc.description.abstractIn this paper, we prove some strong and δ-convergence theorems for two finite families of nonexpansive maps on a hyperbolic space. Our iterative scheme is independent and simpler than the Ishikawa type iteration process. Our results refine and generalize several recent and comparable results in uniformly convex Banach spaces as well as CAT(0) spaces. © 2013 Miskolc University Press.
dc.identifier.doi10.18514/mmn.2013.782
dc.identifier.eissn1787-2413
dc.identifier.endpage925
dc.identifier.issn1787-2405
dc.identifier.issue3
dc.identifier.scopus2-s2.0-84892472043
dc.identifier.startpage915
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/15718
dc.identifier.volume14
dc.identifier.wosWOS:000338514500015
dc.language.isoen
dc.publisherUniversity of Miskolc
dc.relation.ispartofMiskolc Mathematical Notes
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectCommon fixed point
dc.subjectKohlenbach hyperbolic space
dc.subjectNonexpansive map
dc.subjectStrong convergence
dc.subjectδ-convergence
dc.titleStrong and δ-convergence theorems in hyperbolic spaces
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus9
rdl.citation.wos10
rdl.oa.statusgold
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)