A generalized nonlinear iterative algorithm for the explicit midpoint rule of nonexpansive semigroup

dc.contributor.authorSahebi, Hamid Reza
dc.contributor.authorAzhini, Mahdi
dc.contributor.authorCheragni, Masume
dc.contributor.departmentOthertr_TR
dc.contributor.facultyOthertr_TR
dc.date.accessioned2021-11-11T11:00:11Z
dc.date.available2021-11-11T11:00:11Z
dc.date.issued2020-06-30
dc.description.abstractIn this paper, we introduce a new iterative midpoint rule for finding a solution of xed point problem for a nonexpansive semigroup in real Hilbert spaces. We establish a strong convergence theorem for the sequences generated by our proposed iterative scheme. Furthermore, we provide application to Fredholm integral equations. A numerical example is presented to illustrate the convergence result. Our results improve and extend the corresponding results in the literature.tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage628tr_TR
dc.identifier.issn/e-issn2618-6470
dc.identifier.issue1tr_TR
dc.identifier.startpage613tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.484452tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/76015
dc.identifier.volume69tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesi Fen Fakültesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.484452tr_TR
dc.relation.journalCommunications Faculty of Sciences University of Ankara Series A1 Mathematics and Statisticstr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıtr_TR
dc.subjectNonexpansive semigrouptr_TR
dc.subjectEquilibrium problemtr_TR
dc.subjectMidpoint methodtr_TR
dc.titleA generalized nonlinear iterative algorithm for the explicit midpoint rule of nonexpansive semigrouptr_TR
dc.typeArticletr_TR

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