Please use this identifier to cite or link to this item: https://hdl.handle.net/10321/3404
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dc.contributor.authorAibinu, M. O.en_US
dc.contributor.authorThakur, Surendra C.en_US
dc.contributor.authorMoyo, S.en_US
dc.date.accessioned2020-06-15T06:19:05Z-
dc.date.available2020-06-15T06:19:05Z-
dc.date.issued2020-06-06-
dc.identifier.citationAinibu, M. O., Thakur, S. C. and Moyo, S. 2020. The implicit midpoint procedures for asymptotically nonexpansive mappings. Journal of Mathematics: 1-12. Available: doi:10.1155/2020/6876385en_US
dc.identifier.issn2314-4629-
dc.identifier.issn2314-4785 (Online)-
dc.identifier.urihttp://hdl.handle.net/10321/3404-
dc.description.abstractThe concept of asymptotically nonexpansive mappings is an important generalization of the class of nonexpansive mappings. Implicit midpoint procedures are extremely fundamental for solving equations involving nonlinear operators. This paper studies the convergence analysis of the class of asymptotically nonexpansive mappings by the implicit midpoint iterative procedures. The necessary conditions for the convergence of the class of asymptotically nonexpansive mappings are established, by using a well-known iterative algorithm which plays important roles in the computation of fixed points of nonlinear mappings. A numerical example is presented to illustrate the convergence result. Under relaxed conditions on the parameters, some algorithms and strong convergence results were derived to obtain some results in the literature as corollaries.</jats:p>en_US
dc.format.extent12 p.en_US
dc.language.isoenen_US
dc.publisherHindawi Limiteden_US
dc.relation.ispartofJournal of Mathematics, Vol. 2020en_US
dc.titleThe implicit midpoint procedures for asymptotically nonexpansive mappingsen_US
dc.typeArticleen_US
dc.date.updated2020-06-12T11:39:00Z-
dc.publisher.urihttps://www.hindawi.com/journals/jmath/2020/6876385/en_US
dc.identifier.doi10.1155/2020/6876385-
local.sdgSDG07-
item.openairetypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
item.grantfulltextopen-
item.languageiso639-1en-
item.fulltextWith Fulltext-
Appears in Collections:Research Publications (Accounting and Informatics)
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