Some fixed point results for a new three steps iteration process in banach spaces

dc.authorid0000-0002-6622-3122en_US
dc.contributor.authorKarakaya, Vatan
dc.contributor.authorAtalan, Yunus
dc.contributor.authorDoğan, Kadri
dc.contributor.authorBouzara, Nour El Houda
dc.date.accessioned2021-04-19T11:30:36Z
dc.date.available2021-04-19T11:30:36Z
dc.date.issued2017
dc.departmentAÇÜ, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümüen_US
dc.description.abstractIn this paper, we introduce a three step iteration method and show that this method can be used to approximate fixed point of weak contraction mappings. Furthermore, we prove that this iteration method is equivalent to Mann iterative scheme and converges faster than Picard-S iterative scheme for the class of weak contraction mappings. We also present tables and three graphics to support this result. Finally, we prove a data dependence result for weak contraction mappings using this three step iterative scheme.
dc.identifier.citationKarakaya, V., Atalan, Y., Dogan, K., & Bouzara, N. E. H. (2017). Some fixed point results for a new three steps iteration process in Banach spaces. Fixed Point Theory, 18(2), 625-640.en_US
dc.identifier.doi10.24193/fpt-ro.2017.2.50
dc.identifier.endpage640en_US
dc.identifier.issue2en_US
dc.identifier.scopusqualityQ2
dc.identifier.startpage625en_US
dc.identifier.urihttps://hdl.handle.net/11494/3130
dc.identifier.volume18en_US
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorDoğan, Kadri
dc.language.isoenen_US
dc.publisherHouse Book Science-Casa Cartii Stiintaen_US
dc.relation.ispartofFixed Point Theory
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectA new iterative schemeen_US
dc.subjectStrong convergenceen_US
dc.subjectWeak contraction mappingen_US
dc.titleSome fixed point results for a new three steps iteration process in banach spacesen_US
dc.typeArticle

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