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 |
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Format: | Article |
Language: | English |
Published: |
Wiley
2006-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/29728 |
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