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On the convergence, stability and data dependence results of the JK iteration process in Banach spaces

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dc.contributor.author Ullah, Kifayat
dc.contributor.author Saleem, Naeem
dc.contributor.author Bilal, Hazrat
dc.contributor.author Ahmad, Junaid
dc.contributor.author Ibrar, Muhammad
dc.contributor.author Jarad, Fahd
dc.date.accessioned 2024-01-17T13:33:25Z
dc.date.available 2024-01-17T13:33:25Z
dc.date.issued 2023-01-01
dc.identifier.citation Ullah, Kifayat;...et.all. (2023). "On the convergence, stability and data dependence results of the JK iteration process in Banach spaces", Open Mathematics, Vol.21, No.1. tr_TR
dc.identifier.issn 23915455
dc.identifier.uri http://hdl.handle.net/20.500.12416/6915
dc.description.abstract This article analyzes the JK iteration process with the class of mappings that are essentially endowed with a condition called condition (E). The convergence of the iteration toward a fixed point of a specific mapping satisfying the condition (E) is obtained under some possible mild assumptions. It is worth mentioning that the iteration process JK converges better toward a fixed point compared to some prominent iteration processes in the literature. This fact is confirmed by a numerical example. Furthermore, it has been shown that the iterative scheme JK is stable in the setting of generalized contraction. The data dependence result is also established. Our results are new in the iteration theory and extend some recently announced results of the literature. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1515/math-2023-0101 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Banach Space tr_TR
dc.subject Data Dependence tr_TR
dc.subject Garcia-Falset Map tr_TR
dc.subject JK- Iteration tr_TR
dc.subject Stability tr_TR
dc.subject Strong Convergence tr_TR
dc.subject Weak Convergence tr_TR
dc.title On the convergence, stability and data dependence results of the JK iteration process in Banach spaces tr_TR
dc.type article tr_TR
dc.relation.journal Open Mathematics tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.volume 21 tr_TR
dc.identifier.issue 1 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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