Iterative algorithms of generalized nonexpansive mappings and monotone operators with application to convex minimization problem

dc.authorid0000-0002-2083-899X
dc.contributor.authorMaldar, Samet
dc.date.accessioned2021-11-09T06:47:33Z
dc.date.available2021-11-09T06:47:33Z
dc.date.issued2022
dc.departmentSabire Yazıcı Fen Edebiyat Fakültesi
dc.description.abstractIn this paper, we present some convergence results for various iterative algorithms built from Hardy-Rogers type generalized nonexpansive mappings and monotone operators in Hilbert spaces. We obtain some comparison results for the rates of convergence of these algorithms to the solution of variational inequality problem including Hardy-Rogers type generalized nonexpansive mappings and monotone operators. A numerical example is given to validate these results. We apply the iterative algorithms handled herein to solve convex minimization problem and illustrate this result by providing a non-trivial numerical example.
dc.identifier.doi10.1007/s12190-021-01593-y
dc.identifier.endpage-en_US
dc.identifier.issue-en_US
dc.identifier.scopusqualityQ1
dc.identifier.startpage-en_US
dc.identifier.urihttps:/dx.doi.org/10.1007/s12190-021-01593-y
dc.identifier.urihttps://hdl.handle.net/20.500.12451/8612
dc.identifier.volume-en_US
dc.identifier.wosWOS:000673871100001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofJournal of Applied Mathematics and Computing
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/embargoedAccess
dc.subjectFixed Point
dc.subjectVariational Inequality
dc.subjectMonotone Operators
dc.subjectGeneralized Nonexpansive Mappings
dc.subjectConvex Minimization Problem
dc.titleIterative algorithms of generalized nonexpansive mappings and monotone operators with application to convex minimization problem
dc.typeArticle

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