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Weak and strong convergence theorems of a multistep iteration to a common fixed point of a family of nonself asymptotically nonexpansive mappings in banach spaces

dc.creatorBanerjee, Shrabani
dc.creatorChoudhury, Binayak S.
dc.date2012-10-01
dc.identifierhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1337
dc.identifier10.4067/S0719-06462012000300010
dc.descriptionIn this paper we have defined a multistep iterative scheme with errors involving a family of asymptotically nonexpansive nonself mappings in Banach spaces. A retraction has been used in the construction of the iteration. We prove here weak and strong convergences of the iteration to common fixed points of the family of asymptotically nonexpansive nonself mappings. We have used several concepts of Banach space geometry. Our results improve and extend some recent results.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1337/1192
dc.sourceCUBO, A Mathematical Journal; Vol. 14 No. 3 (2012): CUBO, A Mathematical Journal; 143–166en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 14 Núm. 3 (2012): CUBO, A Mathematical Journal; 143–166es-ES
dc.source0719-0646
dc.source0716-7776
dc.subjectModified multistep iterative process with errorsen-US
dc.subjectnonself asymptotically nonexpansive mappingen-US
dc.subjectretractionen-US
dc.subjectOpial’s conditionen-US
dc.subjectuniformly convex Banach spaceen-US
dc.subjectcommon fixed pointen-US
dc.subjectKadec-klee propertyen-US
dc.subjectCondition (B)en-US
dc.subjectweak and strong convergenceen-US
dc.titleWeak and strong convergence theorems of a multistep iteration to a common fixed point of a family of nonself asymptotically nonexpansive mappings in banach spacesen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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