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Strong convergence and control condition of modified Halpern iterations in Banach spaces

Let C be a nonempty closed convex subset of a real Banach space X which has a uniformly Gâteaux differentiable norm. Let T∈ΓC and f∈ΠC. Assume that {xt} converges strongly to a fixed point z of T as t→0, where xt is the unique element of C which satisfies xt=tf(xt)+(1−t)Txt. Let {αn} and {β...

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Main Authors: Yonghong Yao, Rudong Chen, Haiyun Zhou
Formato: Artigo
Idioma:Inglês
Publicado em: Hindawi Limited 2006-01-01
Colecção:International Journal of Mathematics and Mathematical Sciences
Acesso em linha:http://dx.doi.org/10.1155/IJMMS/2006/29728
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