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Fixed point of continuous mappings defined on an arbitrary interval

ArticleAçık Erişim

Özet

In this work, we consider an iterative method given by Karaca and Yildirim [6] to approximate fixed point of continuous mappings defined on an arbitrary interval. Then, we give a necessary and sufficient condition for convergence theorem. We also compare the rate of convergence between the other iteration methods. Finally, we provide a numerical example which supports our theoretical results. Our findings improve corresponding results in the contemporary literature. © 2019 Miskolc University Press.

Anahtar Kelimeler

Continuous mappingConvergence theoremFixed point
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/14132Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.18514/mmn.2019.2509Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorAlagoz, Osman
dc.contributor.authorGunduz, Birol
dc.contributor.authorAkbulut, Sezgin
dc.date.accessioned2026-10-18T20:28:54.755064637Z
dc.date.available2026-10-18T20:28:54.755064637Z
dc.date.issued2019
dc.description.abstractIn this work, we consider an iterative method given by Karaca and Yildirim [6] to approximate fixed point of continuous mappings defined on an arbitrary interval. Then, we give a necessary and sufficient condition for convergence theorem. We also compare the rate of convergence between the other iteration methods. Finally, we provide a numerical example which supports our theoretical results. Our findings improve corresponding results in the contemporary literature. © 2019 Miskolc University Press.
dc.identifier.doi10.18514/mmn.2019.2509
dc.identifier.eissn1787-2413
dc.identifier.endpage728
dc.identifier.issn1787-2405
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85077708967
dc.identifier.startpage719
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/14132
dc.identifier.volume20
dc.identifier.wosWOS:000504461100006
dc.language.isoen
dc.publisherUniversity of Miskolc
dc.relation.ispartofMiskolc Mathematical Notes
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectContinuous mapping
dc.subjectConvergence theorem
dc.subjectFixed point
dc.titleFixed point of continuous mappings defined on an arbitrary interval
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus0
rdl.citation.wos0
rdl.oa.statusgold
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)